ON SOME MAPS CONCERNING gp-CLOSED SETS AND RELATED ROUPS

Arafa A. Nasef; Haruo Maki

doi:10.32219/isms.71.1_55

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Keywords: gp-closed sets, preopen sets, preirresolute maps, preclosed maps, contrapreirresolute maps, strongly M-precontinuous maps, homeomorpisms group, digital lines, digital planes

JOURNAL FREE ACCESS

2010 Volume 71 Issue 1 Pages 55-81

DOI https://doi.org/10.32219/isms.71.1_55

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Abstract

In the present paper we first introduce three classes of maps called approximately s.M-precontinuity, approximately s.M-preclosedness and contra-preirresoluteness. We obtain their basic properties and their relationships with other types of mappings between topological spaces. Finally, we construct and investigate some groups of some mappings corresponding to a topological space. We show some group structures for a subspace of the digital line and the digital plane.

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