IJPAM: Volume 102, No. 1 (2015)

ON REGULARLY ALMOST COUNTABLY COMPACT SETS
IN cpH(i)-SPACES AND RELATED MAPS

Navpreet Singh Noorie$^1$, Sandeep Kaur$^2$
$^{1,2}$Department of Mathematics
Punjabi University
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 $\theta$- 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
Year: 2015
Volume: 102
Issue: 1
Pages: 51 - 56


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