Pβ-connectedness in topological spaces

• Autorzy: Tyagi B. K. , Singh S. , Bhardwaj M.

Identyfikatory

DOI

10.1515/dema-2017-0031

• Języki publikacji: EN

Abstrakty

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

EN

pre-connected; β-connected; Pβ-continous mappings; Pβ-connected; topological space

PL

odwzorowania ciągłe; przestrzeń topologiczna

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 299--308
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Tyagi B. K.

• Atma Ram Sanatan Dharma College, University of Delhi, New Delhi-110021, India

autor

Singh S.

• Department of Mathematics, University of Delhi, New Delhi-110007, India

autor

Bhardwaj M.

• Department of Mathematics, University of Delhi, New Delhi-110007, India

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).