Some strong forms of connectedness in topological spaces

  • B. K. Tyagi University of Delhi
  • Sumit Singh University of Delhi
  • Manoj Bhardwaj University of Delhi
  • Harsh V. S. Chauhan University of Delhi

Abstract

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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Published
2019-02-03
How to Cite
Tyagi, B. K., Singh, S., Bhardwaj, M., & Chauhan, H. V. S. (2019). Some strong forms of connectedness in topological spaces. Journal of Advanced Studies in Topology, 10(1), 20-27. https://doi.org/10.20454/jast.2019.1497
Section
Original Articles