Some network-type properties of the space of G-permutation degree
In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2023-04-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/18985 |
| _version_ | 1797851679465406464 |
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| author | Lj. D.R Kočinac F. G. Mukhamadiev A. K. Sadullaev Sh. U. Meyliev |
| author_facet | Lj. D.R Kočinac F. G. Mukhamadiev A. K. Sadullaev Sh. U. Meyliev |
| author_sort | Lj. D.R Kočinac |
| collection | DOAJ |
| description | In this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has acs-network (resp.cs∗-network) ofcardinality≤κ, thenSPnGXhas acs-network (resp.cs∗-network) ofcardinality≤κ;(3) IfXis aT1-space that has acn-network (resp.ck-network) ofcardinality≤κ, thenSPnGXhas acn-network (resp.ck−network) ofcardinality≤κ. |
| first_indexed | 2024-04-09T19:21:44Z |
| format | Article |
| id | doaj.art-e438f0d9c9fc49d381578671c8e9868b |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-04-09T19:21:44Z |
| publishDate | 2023-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-e438f0d9c9fc49d381578671c8e9868b2023-04-05T11:41:08ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472023-04-0124122923710.4995/agt.2023.1898518175Some network-type properties of the space of G-permutation degreeLj. D.R Kočinac0https://orcid.org/0000-0002-4870-7908F. G. Mukhamadiev1https://orcid.org/0000-0002-1892-4899A. K. Sadullaev2https://orcid.org/0000-0002-4373-2792Sh. U. Meyliev3University of NišNational University of UzbekistanYeoju Technical Institute in TashkentNational University of UzbekistanIn this paper the network-type properties (network,cs−network,cs∗−network,cn−network andck−network) of the spaceSPnGXofG-permutation degree ofXare studied. It is proved that:(1) IfXis aT1-space that has a network of cardinality≤κ, thenSPnGXhas a network of cardinality≤κ;(2) IfXis aT1-space that has acs-network (resp.cs∗-network) ofcardinality≤κ, thenSPnGXhas acs-network (resp.cs∗-network) ofcardinality≤κ;(3) IfXis aT1-space that has acn-network (resp.ck-network) ofcardinality≤κ, thenSPnGXhas acn-network (resp.ck−network) ofcardinality≤κ.https://polipapers.upv.es/index.php/AGT/article/view/18985functor of permutation degreenetworkcs-networkcs∗-networkcn-networkck-network |
| spellingShingle | Lj. D.R Kočinac F. G. Mukhamadiev A. K. Sadullaev Sh. U. Meyliev Some network-type properties of the space of G-permutation degree Applied General Topology functor of permutation degree network cs-network cs∗-network cn-network ck-network |
| title | Some network-type properties of the space of G-permutation degree |
| title_full | Some network-type properties of the space of G-permutation degree |
| title_fullStr | Some network-type properties of the space of G-permutation degree |
| title_full_unstemmed | Some network-type properties of the space of G-permutation degree |
| title_short | Some network-type properties of the space of G-permutation degree |
| title_sort | some network type properties of the space of g permutation degree |
| topic | functor of permutation degree network cs-network cs∗-network cn-network ck-network |
| url | https://polipapers.upv.es/index.php/AGT/article/view/18985 |
| work_keys_str_mv | AT ljdrkocinac somenetworktypepropertiesofthespaceofgpermutationdegree AT fgmukhamadiev somenetworktypepropertiesofthespaceofgpermutationdegree AT aksadullaev somenetworktypepropertiesofthespaceofgpermutationdegree AT shumeyliev somenetworktypepropertiesofthespaceofgpermutationdegree |