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On the Deleted Product Criterion For Embeddability in |
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| Authors: | A. Skopenkov |
| Affiliation: | Chair of Differential Geometry, Department of Mechanics and Mathematics, Moscow State University, Moscow,119899, Russia |
| Abstract: | For a space  let  . Let  act on  and on  by exchanging factors and antipodes respectively. We present a new short proof of the following theorem by Weber: For an  -polyhedron  and  , if there exists an equivariant map  , then  is embeddable in  . We also prove this theorem for a peanian continuum  and  . We prove that the theorem is not true for the 3-adic solenoid  and  . |
| Keywords: | Embedding deleted product engulfing quasi-embedding metastable case peanian continua 3-adic solenoid relative regular neighborhood |
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