Sum connectedness in proximity spaces

Author:

Singh BeenuORCID,Singh Davinder

Abstract

The notion of sum δ-connected proximity spaces which contain the category of δ-connected and locally δ-connected spaces is defined. Several characterizations of it are substantiated. Weaker forms of sum δ-connectedness are also studied.

Publisher

Universitat Politecnica de Valencia

Subject

Geometry and Topology

Reference12 articles.

1. G. Bezhanishvili, Zero-dimensional proximities and zero-dimensional compactifications, Topology Appl. 156 (2009), 1496-1504. https://doi.org/10.1016/j.topol.2008.12.036

2. R. Dimitrijević and Lj. Kočinac, On connectedness of proximity spaces, Matem. Vesnik 39 (1987), 27-35.

3. R. Dimitrijević and Lj. Kočinac, On treelike proximity spaces, Matem. Vesnik 39, no. 3 (1987), 257-261.

4. V. A. Efremovic, Infinitesimal spaces, Dokl. Akad. Nauk SSSR 76 (1951), 341-343 (in Russian).

5. V. A. Efremovic, The geometry of proximity I, Mat. Sb. 31 (1952), 189-200 (in Russian).

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