Cancellation of 3-Point Topological Spaces
[EN] The cancellation problem, which goes back to S. Ulam, is formulated as follows: Given topological spaces X, Y, Z, under what circumstances does X × Z ≈Y × Z (≈ meaning homeomorphic to) imply X ≈ Y ? In it is proved that, for T0 topological spaces and denoting by S the Sierpinski space, if X × S...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | inglés |
| OAI Identifier: | oai:riunet.upv.es:10251/85928 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/85928 |
| Access Level: | acceso abierto |
| Palabra clave: | Homeomorphism Cancellation problem 3-point spaces |
| Sumario: | [EN] The cancellation problem, which goes back to S. Ulam, is formulated as follows: Given topological spaces X, Y, Z, under what circumstances does X × Z ≈Y × Z (≈ meaning homeomorphic to) imply X ≈ Y ? In it is proved that, for T0 topological spaces and denoting by S the Sierpinski space, if X × S≈Y × S then X≈Y. This note concerns all nine (up to homeomorphism) 3-point spaces, which are given in. |
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