On the topology of generalized quotients
Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of th...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2008-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | http://polipapers.upv.es/index.php/AGT/article/view/1801 |
| _version_ | 1811298633346187264 |
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| author | Józef Burzyk Cezary Ferens Piotr Mikusinski |
| author_facet | Józef Burzyk Cezary Ferens Piotr Mikusinski |
| author_sort | Józef Burzyk |
| collection | DOAJ |
| description | Generalized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of this topology are investigated. |
| first_indexed | 2024-04-13T06:22:13Z |
| format | Article |
| id | doaj.art-ddc8202748f24f68bd496368ae2770ca |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-13T06:22:13Z |
| publishDate | 2008-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-ddc8202748f24f68bd496368ae2770ca2022-12-22T02:58:35ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472008-10-019220521210.4995/agt.2008.18011459On the topology of generalized quotientsJózef Burzyk0Cezary FerensPiotr Mikusinski1Technical University of SilesiaUniversity of Central FloridaGeneralized quotients are defined as equivalence classes of pairs (x, f), where x is an element of a nonempty set X and f is an element of a commutative semigroup G acting on X. Topologies on X and G induce a natural topology on B(X,G), the space of generalized quotients. Separation properties of this topology are investigated.http://polipapers.upv.es/index.php/AGT/article/view/1801Generalized quotientsSemigroup acting on a setQuotient topologyHausdorff topology |
| spellingShingle | Józef Burzyk Cezary Ferens Piotr Mikusinski On the topology of generalized quotients Applied General Topology Generalized quotients Semigroup acting on a set Quotient topology Hausdorff topology |
| title | On the topology of generalized quotients |
| title_full | On the topology of generalized quotients |
| title_fullStr | On the topology of generalized quotients |
| title_full_unstemmed | On the topology of generalized quotients |
| title_short | On the topology of generalized quotients |
| title_sort | on the topology of generalized quotients |
| topic | Generalized quotients Semigroup acting on a set Quotient topology Hausdorff topology |
| url | http://polipapers.upv.es/index.php/AGT/article/view/1801 |
| work_keys_str_mv | AT jozefburzyk onthetopologyofgeneralizedquotients AT cezaryferens onthetopologyofgeneralizedquotients AT piotrmikusinski onthetopologyofgeneralizedquotients |