TOPOMORPHISM – A NEW APPROACH TO IDENTIFY TOPOLOGIES

Ramachandran Vembu

Abstract


A new concept called topomorphism is defined and discussed in this paper. A topomorphism is defined as a bijection between topologies which preserve finite intersection and arbitrary union. It is proved that topomorphisms preserve connectedness and compactness. Topomorphisms in the context of separation axioms and the role of bases in topomorphism were studied deeply.

Keywords


topology; homeomorphism; topomormhism; identification of topologies; connectedness; compactness; separation axioms

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References


J. R. Munkres, Topology, Prentice-Hall of In-dia, Second Edition, 2006.




DOI: http://dx.doi.org/10.20903/csnmbs.masa.2015.36.2.76

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