Cauchy sequences in quasi-pseudo-metric spaces |
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| Authors: | I L Reilly P V Subrahmanyam M K Vamanamurthy |
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| Institution: | (1) Mathematics Department, University of Auckland, Auckland, New Zealand;(2) School of Mathematics, University of Hyderabad, Hyderabad, India |
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| Abstract: | This paper considers the problem of defining Cauchy sequence and completeness in quasi-pseudo-metric spaces. The definitions proposed allow versions of such classical theorems as the Baire Category Theorem, the Contraction Principle and Cantor's characterization of completeness to be formulated in the quasi-pseudo-metric setting. |
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