Expansion of α -open sets and decomposition of α -continuous mappings

M. Rajamani and K. Bagyalakshmi

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-4

Abstract:

We introduce the notions of expansion 𝒜 α of α -open sets and 𝒜 α -expansion α -continuous mappings in topological spaces. The main result of this paper is that a map f is α -continuous if and only if it is 𝒜 α -expansion α -continuous and ℬ α -expansion α -continuous, where 𝒜 α , ℬ α are two mutually dual expansions.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:940432

DOI: 10.1155/IJMMS.2005.2575

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