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- Kazuhiro Kawamura
- Institute of Mathematics University of Tsukuba
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Abstract
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
Journal
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- Tsukuba journal of mathematics
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Tsukuba journal of mathematics 20 (2), 471-478, 1996-12
Institute of Mathematics, University of Tsukuba
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Details 詳細情報について
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- CRID
- 1570572701819981312
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- NII Article ID
- 110000027499
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- NII Book ID
- AA00874643
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- ISSN
- 03874982
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- Text Lang
- en
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- Data Source
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- CiNii Articles