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Demonstratio Mathematica

Tytuł artykułu

Pβ-connectedness in topological spaces

Autorzy Tyagi, B. K.  Singh, S.  Bhardwaj, M. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN A new property called Pβ-connectedness is introduced which is stronger than connectedness and equivalent to pre-connectedness. The properties of this notion are explored and its relationship with other forms of connectedness, for example hyperconnectedness etc. are discussed. Locally pre-indiscrete spaces are defined as the spaces in which pre-open sets are closed. In such spaces connectedness becomes equivalent to pre-connectedness and hence to Pβ-connectedness, and semi-connectedness becomes equivalent to Pβ-connectedness. The notion of locally Pβ-connected space is introduced. The behavior of Pβ-connectedness under several types of mappings is investigated. An intermediate value theorem is obtained.
Słowa kluczowe
PL odwzorowania ciągłe   przestrzeń topologiczna  
EN pre-connected   β-connected   Pβ-continous mappings   Pβ-connected   topological space  
Wydawca De Gruyter
Czasopismo Demonstratio Mathematica
Rocznik 2017
Tom Vol. 50, nr 1
Strony 299--308
Opis fizyczny Bibliogr. 15 poz.
autor Tyagi, B. K.
autor Singh, S.
autor Bhardwaj, M.
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PL Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-ea708cad-0720-40b9-a92d-af96d65fb220
DOI 10.1515/dema-2017-0031