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Approximating
cellular maps between low-dimensional polyhedra
James P. Henderson |
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Vol. 101 (1982), No. 2, 321–331
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Abstract |
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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 between polyhedra f : P → Q is cellular if each point inverse of f is cellular in P. It is shown that if f : P → Q is a cellular map with either (i) dimP ≦ 3, or (ii) dimQ ≦ 3, then f is approximable by homeomorphisms. |
Mathematical Subject Classification 2000
Primary: 57Q55
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Milestones
Received: 12 June 1980
Revised: 9 February 1981
Published: 1 August 1982
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Authors |
| James P. Henderson | |
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