IJPAM: Volume 84, No. 3 (2013)
CHAINABILITY IN TOPOLOGICAL SPACES
THROUGH CONTINUOUS FUNCTIONS
THROUGH CONTINUOUS FUNCTIONS
Vijeta Iyer1, Kiran Shrivastava2, Priya Choudhary3
1,2,3Department of Mathematics
S.N.G.G.P.G. College
Shivaji Nagar, Bhopal, 462016, INDIA
1,2,3Department of Mathematics
S.N.G.G.P.G. College
Shivaji Nagar, Bhopal, 462016, INDIA
Abstract. In this paper concept of ε-chainability in topological spaces has been introduced using continuity. Several well known results prove perquisites to results established in the paper. In case of metric spaces the equivalence of ε-chainability and function-ε-chainability is also established in the paper.
Received: February 9, 2013
AMS Subject Classification: 54A99
Key Words and Phrases: ε-chain, uniform-ε-chainability, uniform chainability, ε-chain preserving map, chain preserving map, strongly-ε-chain preserving map, strong chain preserving map.
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DOI: 10.12732/ijpam.v84i3.13 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: 2013
Volume: 84
Issue: 3
