The algebraic face of the Alexandro one point compatication
We give a characterization, in algebraic terms, of the Alexandroff one point compactication of a locally compact Hausdorff space. In fact, we prove that if (X, T) is a locally compact Hausdorff space, then (X', T') point compactication if and only if T is a maximal ideal of T'. ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2022-01-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48205 |
| _version_ | 1827767208886927360 |
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| author | Luz Marchan Jorge Enrique Vielma |
| author_facet | Luz Marchan Jorge Enrique Vielma |
| author_sort | Luz Marchan |
| collection | DOAJ |
| description |
We give a characterization, in algebraic terms, of the Alexandroff one point compactication of a locally compact Hausdorff space. In fact, we prove that if (X, T) is a locally compact Hausdorff space, then (X', T') point compactication if and only if T is a maximal ideal of T'.
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| first_indexed | 2024-03-11T11:54:34Z |
| format | Article |
| id | doaj.art-29048d2b1c42497a975965c6cfa935c7 |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:34Z |
| publishDate | 2022-01-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-29048d2b1c42497a975965c6cfa935c72023-11-08T19:49:37ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-01-014010.5269/bspm.48205The algebraic face of the Alexandro one point compaticationLuz Marchan0Jorge Enrique Vielma1Escuela Superior Politécnica del LitoralEscuela Superior Politécnica del Litoral We give a characterization, in algebraic terms, of the Alexandroff one point compactication of a locally compact Hausdorff space. In fact, we prove that if (X, T) is a locally compact Hausdorff space, then (X', T') point compactication if and only if T is a maximal ideal of T'. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48205 |
| spellingShingle | Luz Marchan Jorge Enrique Vielma The algebraic face of the Alexandro one point compatication Boletim da Sociedade Paranaense de Matemática |
| title | The algebraic face of the Alexandro one point compatication |
| title_full | The algebraic face of the Alexandro one point compatication |
| title_fullStr | The algebraic face of the Alexandro one point compatication |
| title_full_unstemmed | The algebraic face of the Alexandro one point compatication |
| title_short | The algebraic face of the Alexandro one point compatication |
| title_sort | algebraic face of the alexandro one point compatication |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48205 |
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