The Fundamental Group of a Group Acting on a Topological Space
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| Format: | Artículo científico |
| Language: | en |
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Universidad San Francisco de Quito
2014
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| _version_ | 1876447467894996992 |
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| author | Bryan Maldonado |
| author_facet | Bryan Maldonado |
| contents | The Fundamental Group of a Group Acting on a Topological Space Bryan Maldonado John Skukalek Multidisciplinaria (Ciencias Naturales y Exactas) Group Action Fundamental Group Algebraic Topology In 1966, F. Rhodes introduced the idea of the fundamental group of a group acting on a topological space. His article contains summarized proofs of results and has been studied since then primarily because the category of transformation groups is more general than the category of topological spaces. In this article, a thorough study of Rhodes’s work is presented, providing examples to enrich the theory. Dr. James Montaldi from the University of Manchester has recently provided a more general and applicable approach Rhodes’s main theorem. His results are also analyzed here. 2014 artículo científico 1390-5384 https://www.redalyc.org/articulo.oa?id=726180839002 en http://www.redalyc.org/revista.oa?id=7261 Avances en Ciencias e Ingenierías application/pdf Universidad San Francisco de Quito Avances en Ciencias e Ingenierías (Ecuador) Num.1 Vol.6 |
| format | Artículo científico |
| id | redalyc_726180839002 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad San Francisco de Quito |
| spellingShingle | The Fundamental Group of a Group Acting on a Topological Space Bryan Maldonado Multidisciplinaria (Ciencias Naturales y Exactas) Group Action Fundamental Group Algebraic Topology The Fundamental Group of a Group Acting on a Topological Space Bryan Maldonado John Skukalek Multidisciplinaria (Ciencias Naturales y Exactas) Group Action Fundamental Group Algebraic Topology In 1966, F. Rhodes introduced the idea of the fundamental group of a group acting on a topological space. His article contains summarized proofs of results and has been studied since then primarily because the category of transformation groups is more general than the category of topological spaces. In this article, a thorough study of Rhodes’s work is presented, providing examples to enrich the theory. Dr. James Montaldi from the University of Manchester has recently provided a more general and applicable approach Rhodes’s main theorem. His results are also analyzed here. 2014 artículo científico 1390-5384 https://www.redalyc.org/articulo.oa?id=726180839002 en http://www.redalyc.org/revista.oa?id=7261 Avances en Ciencias e Ingenierías application/pdf Universidad San Francisco de Quito Avances en Ciencias e Ingenierías (Ecuador) Num.1 Vol.6 |
| title | The Fundamental Group of a Group Acting on a Topological Space |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Group Action Fundamental Group Algebraic Topology |
| url | https://www.redalyc.org/articulo.oa?id=726180839002 |