IJPAM: Volume 102, No. 1 (2015)
IN cpH(i)-SPACES AND RELATED MAPS
Department of Mathematics
Patiala, 147002, INDIA
Abstract. We introduce and study ``regularly almost countably compact'' (henceforth abbreviated as r.a.c.c.) sets and obtain a sufficient condition for a subset of countably para H(i)-set to be r.a.c.c. We also study maps for which image (inverse image) of relatively coutably compact sets is r.a.c.c. We prove that such maps are strictly weaker than r-sequentially subcontinuous maps.
Received: October 23, 2014
AMS Subject Classification: 54C10, 54C08, 54D20
Key Words and Phrases: regularly almost countably compact , cpH(i)-set, weakly almost countably compact (preserving) map, sequentially r-subcontinuous map, sequentially - clustering
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DOI: 10.12732/ijpam.v102i1.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 51 - 56