C(X) determines X - an inherent theory

نویسندگان

چکیده

One of the fundamental problem in rings continuous function is to extract those spaces for which C(X) determines X, that investigate X and Y such isomorphic with C(Y ) implies homeomorphic Y. The development started back from Tychonoff who first pointed out inevitability space this category problem. Later S. Banach M. Stone proved independently slight variance, if compact Hausdorff space, also determine X. Their works were maximally extended by E. Hewitt introducing realcompact later Melvin Henriksen Biswajit Mitra solved locally nearly spaces. In paper we tried develop an inherent theory cover up all literature a notion so called P-compact

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ژورنال

عنوان ژورنال: Applied general topology

سال: 2023

ISSN: ['1576-9402', '1989-4147']

DOI: https://doi.org/10.4995/agt.2023.17569