Docility at infinity and compactifications of ANR’s
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- by R. B. Sher PDF
- Trans. Amer. Math. Soc. 221 (1976), 213-224 Request permission
Abstract:
Various conditions of contractibility and extensibility at $\infty$ for locally compact metric spaces are studied. These are shown to be equivalent if the space under consideration is an absolute neighborhood retract (ANR) and an ANR satisfying them is called docile at $\infty$. Docility at $\infty$ is invariant under proper homotopy domination. The ANR X is docile at $\infty$ if and only if FX (the Freudenthal compactification of X) is an ANR and $FX - X$ is unstable in FX; the inclusion of X into FX is a homotopy equivalence.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 221 (1976), 213-224
- MSC: Primary 54F40; Secondary 54C55
- DOI: https://doi.org/10.1090/S0002-9947-1976-0425925-3
- MathSciNet review: 0425925