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Deformation retract - Wikipedia, the free encyclopedia
en.wikipedia.org/wiki/Deformation_retract
A space X is an absolute neighborhood retract (or ANR) if for every normal space Y that embeds X as a closed subset, X is ... |
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Let $X$ be a topological space and $Y$ a subspace of $X$ If there exists an open set $U$ such that $Y \subset U \subset X$ and $Y$ is a retract of $U$ then we ...
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Cross-references: neighborhood retract, retract, image, normal space, closed subset, embedding, topological space. There are 2 references to this entry.
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Absolute neighborhood retracts (ANR's) and spaces having the homotopy ... { neighborhood retract) of X. In his Ph.D. thesis "O retrakcjach i zbiorach zwi^ zanych" ...
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Jul 13, 2011 ... A topological subspace A is a neighborhood retract of a topological space X if there is a neighborhood U ⊃ A in X such that A is a retract of U .
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an absolute neighborhood retract. The theorem of this note was motivated by a desire to show that the space of all piecewise linear homeomorphisms of a ...
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and that F be an absolute neighborhood retract (ANR) [15, p. 58], which includes the generalized Hopf theorems as special cases. Owing to the Cech. Presented ...
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