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A homotopy equivalence that is not homotopic to a topological embedding |
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| Authors: | Vo Thanh Liem Yukio Matsumoto Gerard Venema |
| Institution: | a University of Alabama, Tuscaloosa, AL 35487-0350, USA b University of Tokyo, Komaba, Meguro-ku, Tokyo 153, Japan c Calvin College, Grand Rapids, MI 49546, USA |
| Abstract: | An open subset W of Sn, n  6 or N = 4, and a homotopy equivalence ƒ: S2 × Sn − 4 → W are constructed having the property that ƒ is not homotopic to any topological embedding. |
| Keywords: | Compact subset Homotopy equivalence Topological embedding |
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