Zobrazeno 1 - 10 of 95 pro vyhledávání: '"Robert J. Daverman"'
3
Nested defining sequences and 1 dimensionality of decomposition elements
Autor: Shijie Gu, Robert J. Daverman
Publikováno v: Topology and its Applications. 227:59-63
It is shown that every cell-like, upper semicontinuous decomposition of an n -manifold, n ≠ 4 , that arises from a nested defining sequence can be replaced by a new cell-like decomposition, with the same quotient space and with elements of dimensio
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::57786c962995f961592fdcc461af595c
https://doi.org/10.1016/j.topol.2017.01.018
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4
A hierarchy for closed $n$-cell complements
Autor: Shijie Gu, Robert J. Daverman
Publikováno v: Rocky Mountain J. Math. 47, no. 7 (2017), 2133-2166
Let $C$ and $D$ be a pair of crumpled $n$-cubes and $h$ a homeo\-morphism of Bd$C$ to Bd$D$ for which there exists a map $f_h: C\to D$ such that $f_h\mid$ Bd$C=h$ and $f_{h}^{-1}$Bd$D$=Bd$C $. In our view, the presence of such a triple $(C,D,h)$ sugg
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::16b014255b32c4807ccab307982b77e0
https://doi.org/10.1216/rmj-2017-47-7-2133
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6
Sewings of crumpled cubes revisited
Autor: Robert J. Daverman
Publikováno v: Topology and its Applications. 155(2):105-111
This paper sets forth three mismatch properties, strictly ordered in strength, about sewings of crumpled n-cubes. The strongest is a sufficient but not a necessary condition for a sewing to yield S n , and the weakest, a necessary but not sufficient
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fc9cda4a5daec82fe97f8202d2c0a69
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8
The 3-manifold recognition problem
Autor: Robert J. Daverman, T. L. Thickstun
Publikováno v: Transactions of the American Mathematical Society. 358:5257-5271
We introduce a natural Relative Simplicial Approximation Property for maps from a 2-cell to a generalized 3-manifold and prove that, modulo the Poincare Conjecture, 3-manifolds are precisely the generalized 3-manifolds satisfying this approximation p
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::229b8ea4f4ad5134699029baa910b8e3
https://doi.org/10.1090/s0002-9947-05-03786-4
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9
Fibrator properties of manifolds
Autor: Robert J. Daverman
Publikováno v: Topology and its Applications. 153(2-3):245-260
Approximate fibrations form a useful class of maps, in part, because they provide computable relationships involving the domain, image and homotopy fiber. Fibrator properties, which pertain to and depend upon the homotopy fiber, allow instant recogni
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::727eaaf4b2fa9709e2c64af91a52b995
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10
PL fibrator properties of partially aspherical manifolds
Autor: Yongkuk Kim, Young Ho Im, Robert J. Daverman
Publikováno v: Topology and its Applications. 140(2-3):181-195
Approximate fibrations form a useful class of maps. By definition fibrators provide instant detection of maps in this class, and PL fibrators do the same in the PL category. This paper formalizes a natural concept of partial asphericity and establish
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::51b47cc3e38094762382407f9e7c0eda
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