Some strong forms of connectedness in topological spaces | Zendy

B. K. Tyagi | Zendy; Sumit Singh | Zendy; Manoj Bhardwaj | Zendy; Harsh V. S. Chauhan | Zendy

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Some strong forms of connectedness in topological spaces

Author(s) -

B. K. Tyagi,

Sumit Singh,

Manoj Bhardwaj,

Harsh V. S. Chauhan

Publication year - 2019

Publication title -

journal of advanced studies in topology

Language(s) - English

Resource type - Journals

eISSN - 2090-8288

pISSN - 2090-388X

DOI - 10.20454/jast.2019.1497

Subject(s) - social connectedness , mathematics , beta (programming language) , topological space , combinatorics , topology (electrical circuits) , alpha (finance) , connected component , pure mathematics , discrete mathematics , social psychology , computer science , statistics , psychology , construct validity , programming language , psychometrics

In this paper, we study new separations of sets called half separated, half \(\alpha\)-separated, half semi separated, half pre-separated, half \(\beta\)-separated sets and corresponding to these notions introduced half connected, half \(\alpha\)-connected, half semi-connected, half pre-connected, half \(\beta\)-connected topological spaces, respectively. These are stronger forms of connectedness, \(\alpha\)-connectedness, semi-connectedness, pre-connectedness, \(\beta\)-connectedness respectively. The properties of these notions follow the same pattern.

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