(1)(2)-Homogeneous continua with cut points
A space is said to be _21-homogeneous provided that there are exactly two orbits for the action of the group of homeomorphisms of the space onto itself. It is shown that if X is a 1/2-homogeneous continuum with at least one cut point, then X has either uncountably many cut points or only one cut poi...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/1148 |
| Acceso en línea: | http://hdl.handle.net/11154/1148 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics arc bouquet compactification continuum cut point end of a compactification of R-1 homogeneous and (1)(n)-homogeneous locally connected continuum n-homogeneous and n-homogeneous at a point orbit order of a space at a point remainder of a compact |
| Sumario: | A space is said to be _21-homogeneous provided that there are exactly two orbits for the action of the group of homeomorphisms of the space onto itself. It is shown that if X is a 1/2-homogeneous continuum with at least one cut point, then X has either uncountably many cut points or only one cut point c. In the former case, X is 1/2-homogeneous if and only if X is an arc or X is a compactification of the reals R-1 whose remainder is the union of two disjoint, nondegenerate, homeomorphic homogeneous continua and the ends of X are mutually homeomorphic and 1/3-homogeneous. In the latter case, the closures of the components of X - {c} are mutually homeomorphic and 2-homogeneous at c, and ord(c)(X) >= 4 |
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