Directed GF-spaces
In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities and inverse limits of posets. We define the concept of GF-compactification and appl...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
2017
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| Online Access: | http://hdl.handle.net/10835/4863 https://doi.org/10.4995/agt.2001.2149 |
| _version_ | 1789406559099420672 |
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| author | Sánchez-Granero, M.A Arenas, F.G |
| author_facet | Sánchez-Granero, M.A Arenas, F.G |
| author_sort | Sánchez-Granero, M.A |
| collection | DSpace |
| description | In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities and inverse limits of posets. We define the concept of GF-compactification and apply it to prove that the Stone-Cech compactification can be obtained as the GF-compactification of the directed fractal structure associated to the Pervin quasi-uniformity. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-4863 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2017 |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-48632023-04-12T19:38:28Z Directed GF-spaces Sánchez-Granero, M.A Arenas, F.G In this paper we introduce the concept of directed fractal structure, which is a generalization of the concept of fractal structure (introduced by the authors). We study the relation with transitive quasiuniformities and inverse limits of posets. We define the concept of GF-compactification and apply it to prove that the Stone-Cech compactification can be obtained as the GF-compactification of the directed fractal structure associated to the Pervin quasi-uniformity. 2017-06-16T08:25:43Z 2017-06-16T08:25:43Z 2001 info:eu-repo/semantics/article http://hdl.handle.net/10835/4863 https://doi.org/10.4995/agt.2001.2149 en Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| spellingShingle | Sánchez-Granero, M.A Arenas, F.G Directed GF-spaces |
| title | Directed GF-spaces |
| title_full | Directed GF-spaces |
| title_fullStr | Directed GF-spaces |
| title_full_unstemmed | Directed GF-spaces |
| title_short | Directed GF-spaces |
| title_sort | directed gf-spaces |
| url | http://hdl.handle.net/10835/4863 https://doi.org/10.4995/agt.2001.2149 |
| work_keys_str_mv | AT sanchezgraneroma directedgfspaces AT arenasfg directedgfspaces |