On \(\alpha\)-Topological Spaces

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Thangaraj Beaula
Christinal Gunaseeli


In this paper, we define \(\alpha\)-topological space for \(0 \leq \alpha \leq 1\). We also define $\alpha$-metric and it is proved that it is an ascending family of real numbers. Some basic properties of \(\alpha\)-metric spaces have also been obtained.

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Beaula, T., & Gunaseeli, C. (2012). On \(\alpha\)-Topological Spaces. Journal of Advanced Studies in Topology, 4(1), 119:127. https://doi.org/10.20454/jast.2013.490
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