Cellular maps between polyhedra
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- by James P. Henderson PDF
- Trans. Amer. Math. Soc. 272 (1982), 527-537 Request permission
Abstract:
A compact subset $X$ of a polyhedron $P$ is cellular in $P$ if there is a pseudoisotopy of $P$ shrinking precisely $X$ to a point. A proper surjection $f:P\rightarrow Q$ is cellular if each point inverse of $f$ is cellular in $P$. We give certain conditions under which cellular maps between polyhedra are approximable by homeomorphisms. An example of a cellular map which is not approximable by homeomorphisms is also given.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 272 (1982), 527-537
- MSC: Primary 57Q55; Secondary 54E60, 57N60, 57Q37
- DOI: https://doi.org/10.1090/S0002-9947-1982-0662050-3
- MathSciNet review: 662050