Proper n-homotopy equivalences of locally compact polyhedra

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概要

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• We prive the following theorem which is a locally compact analogue of results of S.Ferry and the author. Theorem, Let f:X→Y be a porper map between finite dimensional locally compact polyhedra X and Y. Suppose that (1) π1(f):πi(X)→π1(Y) is an isomorphism for each i≦n. (2) f induces a surjection between the ends of X and Y. and (3) f induces an isomorphism between the i-th homotopy groups of ends of X and Y for each i≦n. Then there exist a locally compact polyhedron Z and proper UVn-maps α:Z→X and β:Z→Y sucha that (4) dim Z≦2 max(dim X.n)+3 (5) fоα and β is properly n-homotopic, and (6) α has at most countably many non-contractible libre all of which have the homotopy type of Sn+1

• 筑波大学の論文
• 1997-01-10

著者

• KAWAMURA Kazuhiro

  Institute of Mathematics University of Tsukuba

• Kazuhiro Kawamura

  Institute Of Mathematics University Of Tsukuba

関連論文

• On some properties on span
• Proper n-homotopy equivalences of locally compact polyhedra
• Lusternik-Schnirelmann type inveriants for Menger manifolds
• A subgroup of 1-cocycles associated with a group action (Geometry of Transformation Groups and Combinatorics)

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