5
5.0
Mar 14, 2022
03/22
by
Longueville, Mark de
texts
eye 5
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xi, 238 p. : 24 cm
Topics: Combinatorial topology, Topology
146
146
Jan 11, 2022
01/22
by
Munkres, James R., 1930-
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eye 146
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xvi, 537 pages : 25 cm
Topics: Topology, Algebraic topology
4
4.0
Jun 29, 2018
06/18
by
Fredric D. Ancel; Robert D. Edwards
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This paper presents some partial answers to the following question. QUESTION. If a normal space X is the union of an increasing sequence of open sets U(1), U(2), U(3) ... such that each U(n) contracts to a point in X, must X be contractible? The main results of the paper are: THEOREM 1. If a normal space X is the union of a sequence of open subsets { U(n) } such that the closure of U(n) is contained in U(n+1) and U(n) contracts to a point in U(n+1) for each n > 0, then X is contractible....
Topics: General Topology, Geometric Topology, Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1606.05379
4
4.0
Jun 30, 2018
06/18
by
Leonard R. Rubin; Vera Tonić
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In extension theory, in particular in dimension theory, it is frequently useful to represent a given compact metrizable space X as the limit of an inverse sequence of compact polyhedra. We are going to show that, for the purposes of extension theory, it is possible to replace such an X by a better metrizable compactum Z. This Z will come as the limit of an inverse sequence of triangulated polyhedra with simplicial bonding maps that factor in a certain way. There will be a cell-like map from Z...
Topics: Algebraic Topology, General Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1703.04339
4
4.0
Jun 30, 2018
06/18
by
Matija Cencelj; Umed H. Karimov; Dušan D. Repovš
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We investigate the classical Alexandroff-Borsuk problem in the category of non-triangulable manifolds: Given an $n$-dimensional compact non-triangulable manifold $M^n$ and $\varepsilon > 0$, does there exist an $\varepsilon$-map of $M^n$ onto an $n$-dimensional finite polyhedron which induces a homotopy equivalence?
Topics: Algebraic Topology, General Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1703.01057
4
4.0
Jun 29, 2018
06/18
by
Vesko Valov
texts
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The homological dimension $d_G$ of metric compacta was introduced by Alexandroff. In this paper we provide some general properties of $d_G$, mainly with an eye towards describing the dimensional full-valuedness of compact metric spaces. As a corollary of the established properties of $d_G$, we prove that any two-dimensional $lc^2$ metric compactum is dimensionally full-valued. This improves the well known result of Kodama that every two-dimensional $ANR$ is dimensionally full-valued....
Topics: General Topology, Geometric Topology, Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1605.04497
Due to the rapid growth of the Internet, the available pool of unique addresses in version four of the Internet Protocol (IPv4) is nearly depleted. As a result, the next generation protocol, IPv6, is now widely implemented and rapidly being adopted. This thesis examines new methods for active mapping of the IPv6 topology, i.e., router and link discovery. Better characterization of the IPv6 topology can provide the Department of Defense and other federal agencies the ability to defend networks...
Topics: Internet Topology, Network Topology, IPv6, IPv6 Topology, Adaptive Probing, Efficient Topology...
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23
Jul 17, 2019
07/19
by
Nagata, Jun-iti, 1925-
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eye 23
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x, 365 p. ; 23 cm
Topic: Topology
30
30
Jul 30, 2019
07/19
by
Lefschetz, Solomon, 1884-
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eye 30
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vi, 389 p. ; 26 cm
Topic: Topology
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53
Jan 28, 2019
01/19
by
Čech, Eduard, 1893-1960
texts
eye 53
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893 p. ; 25 cm
Topic: Topology
113
113
Dec 4, 2009
12/09
by
Hurewicz, Witold, 1904-1956; Wallman, Henry, 1915- joint author
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eye 113
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comment 0
38
38
Oct 17, 2021
10/21
by
Eisenberg, Murray, 1939-
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eye 38
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xiv, 427 p. 25 cm
Topic: Topology
5
5.0
texts
eye 5
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IV, 251 Seiten
Topic: Topology
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7.0
May 13, 2022
05/22
by
Long, Paul E
texts
eye 7
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vi, 281 p. 24 cm
Topic: Topology
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6.0
texts
eye 6
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xvii, 335 p. : 23 cm
Topic: Topology
Source: removedNEL
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25
Jul 17, 2019
07/19
by
Lefschetz, Solomon, 1884-
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eye 25
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vi, 389 p. ; 26 cm
Topic: Topology
152
152
Jul 5, 2012
07/12
by
Kelley, John L
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eye 152
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Includes bibliography
Topic: Topology
22
22
Dec 23, 2021
12/21
by
Gemignani, Michael C
texts
eye 22
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comment 0
xi, 270 p. : 22 cm
Topic: Topology
"Estratto dal t. xiii (1899) dei Rendicoti del Circolo Matematico di Palermo."
Topic: Topology
156
156
Jul 14, 2014
07/14
by
Barr, Stephen
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eye 156
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comment 0
3
3.0
May 31, 2022
05/22
by
Eisenberg, Murray, 1939-
texts
eye 3
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xiv, 427 p. 25 cm
Topic: Topology
320
320
Jul 30, 2019
07/19
by
Dugundji, James, 1919-
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eye 320
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xvi, 447 p. --
Topic: Topology
148
148
Jul 23, 2019
07/19
by
Seifert, H. (Herbert), 1907-
texts
eye 148
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xvi, 437 p. : 24 cm
Topic: Topology
4
4.0
Apr 25, 2022
04/22
by
Vasilʹev, V. A., 1956-
texts
eye 4
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xiii, 149 p. : 22 cm
Topic: Topology
33
33
Jul 17, 2019
07/19
by
Aleksandrov, P. S. (Pavel Sergeevich), 1896-
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eye 33
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comment 0
35
35
Aug 31, 2019
08/19
by
Hu, S. T. (Sze-Tsen), 1914-
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eye 35
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x, 214 p. 24 cm
Topic: Topology
59
59
Jan 11, 2021
01/21
by
Christenson, Charles O
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eye 59
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xi, 517 p. : 24 cm
Topic: Topology
71
71
Jun 26, 2019
06/19
by
Császár, Ákos
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eye 71
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488 p. ; 25 cm
Topic: Topology
370
370
Aug 31, 2019
08/19
by
Croom, Fred H., 1941-
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eye 370
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xi, 312 p. : 24 cm
Topic: Topology
372
372
Jul 24, 2019
07/19
by
Steenrod, Norman Earl, 1910-1971
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eye 372
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vii, 224 p. 24 cm
Topic: Topology
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8.0
Jul 18, 2019
07/19
by
Topology Seminar (1965 : University of Wisconsin)
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eye 8
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246 p. 24 cm
Topic: Topology
264
264
Jul 6, 2009
07/09
by
Borrego, Joseph Thomas, 1939-
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eye 264
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Manuscript copy
Topic: Topology
36
36
Jul 19, 2019
07/19
by
Hurewicz, Witold, 1904-1956
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eye 36
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vii, 165 p
Topic: Topology
210
210
Aug 7, 2014
08/14
by
Cullen, Helen F. (Helen Frances), 1919-
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eye 210
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Bibliography: p. [417]-420
Topic: Topology
287
287
Nov 5, 2014
11/14
by
Hu, S. T. (Sze-Tsen), 1914-
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eye 287
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Bibliography: p. 222-225
Topic: Topology
269
269
Jun 20, 2019
06/19
by
Mansfield, Maynard J. (Maynard Joseph), 1930-
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eye 269
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x, 116 p. : 24 cm. --
Topic: Topology
59
59
Aug 7, 2019
08/19
by
Cairns, Stewart S. (Stewart Scott)
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eye 59
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244 p. : 24 cm
Topic: Topology
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43
texts
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xiv, 692 p. : 25 cm
Topic: Topology
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45
Jul 30, 2019
07/19
by
Blackett, Donald W
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eye 45
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ix, 224 p. : 24 cm
Topic: Topology
325
325
Sep 27, 2012
09/12
by
John G. Hocking
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eye 325
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364
364
Jan 24, 2010
01/10
by
Dingeldey, Friedrich, 1859-1939
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eye 364
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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
Topic: Topology
Source: http://books.google.com/books?id=v48LAAAAYAAJ&oe=UTF-8
68
68
Jul 1, 2019
07/19
by
Lietzmann, Walther, 1880-1959
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eye 68
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xi, 169 p. 23 cm
Topic: Topology
241
241
Jun 17, 2013
06/13
by
Lietzmann, Walther, 1880-1959
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eye 241
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Bibliography: p. 169
Topic: Topology
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4.0
Jun 30, 2018
06/18
by
Frank Connolly; James F. Davis; Qayum Khan
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The problem of equivariant rigidity is the $\Gamma$-homeomorphism classification of $\Gamma$-actions on manifolds with compact quotient and with contractible fixed sets for all finite subgroups of $\Gamma$. In other words, this is the classification of cocompact $E_{fin}\Gamma$-manifolds. We use surgery theory, algebraic $K$-theory, and the Farrell--Jones Conjecture to give this classification for a family of groups which satisfy the property that the normalizers of nontrivial finite subgroups...
Topics: Mathematics, Algebraic Topology, Geometric Topology
Source: http://arxiv.org/abs/1402.0280
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16
Jul 26, 2019
07/19
by
Hansen, Vagn Lundsgaard
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eye 16
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x, 191 p. : 24 cm
Topics: Algebraic topology, Geometry, Algebraic, Topology
Source: removedNEL
3
3.0
Jun 29, 2018
06/18
by
Andrew Lobb; Patrick Orson; Dirk Schuetz
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eye 3
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Framed flow categories were introduced by Cohen-Jones-Segal as a way of encoding the flow data associated to a Floer functional. A framed flow category gives rise to a CW-complex with one cell for each object of the category. The idea is that the Floer invariant should take the form of the stable homotopy type of the resulting complex, recovering the Floer cohomology as its singular cohomology. Such a framed flow category was produced, for example, by Lipshitz-Sarkar from the input of a knot...
Topics: Geometric Topology, Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1605.02003
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4.0
Jun 29, 2018
06/18
by
Mauricio Gomez Lopez
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We introduce in this article a bordism category $\mathcal{C}_d^{PL}$ whose objects are bundles of closed $(d-1)$-dimensional piecewise linear manifolds and whose morphisms are bundles of $d$-dimensional piecewise linear cobordisms. $\mathcal{C}_d^{PL}$ is a simplicial non-unital category and, in the main theorem of this article, we show that its classifying space $B\mathcal{C}_d^{PL}$ is weak homotopy equivalent to an infinite loop space. We regard $\mathcal{C}_d^{PL}$ as the piecewise linear...
Topics: Geometric Topology, Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1608.06236
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4.0
Jun 30, 2018
06/18
by
Meru Alagalingam
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In his work on singularities, expanders and topology of maps, Gromov showed, using isoparametric inequalities in graded algebras, that every real valued map on the $n$-torus admits a fibre whose homological size is bounded below by some universal constant depending on $n$. He obtained similar estimates for maps with values in finite dimensional complexes, by a Lusternik--Schnirelmann type argument. We describe a new homological filling technique which enables us to derive sharp lower bounds in...
Topics: Algebraic Topology, Geometric Topology, Mathematics
Source: http://arxiv.org/abs/1703.02350
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3.0
Jun 29, 2018
06/18
by
Mitsunobu Tsutaya
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eye 3
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We give a homotopy invariant construction of the Reidemeister trace for the coincidence of two maps between closed manifolds of not necessarily the same dimensions. It is realized as a homology class of the homotopy equalizer, which coincides with the Hurewicz image of Koschorke's stabilized bordism invariant. To define it, we use a kind of shriek maps appearing string topology. As an application, we compute the coincidence Reidemeister trace for the self-coincidence of the projections of...
Topics: Geometric Topology, Algebraic Topology, Mathematics
Source: http://arxiv.org/abs/1606.07363
