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Topology and Topological Spaces
1997We have now seen four different proofs of the Fundamental Theorem of Algebra. The first two were purely analysis, while the second pair involved a wide collection of algebraic ideas. However, we should realize that even in these algebraic proofs we did not totally leave analysis.
Gerhard Rosenberger, Benjamin Fine
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On two topologies associated with a topology
Quaestiones Mathematicae, 2011With every topology T on a set X, two finer topologies on X have been introduced in the past, viz., the so-called front topology and the indiscrete generated refinement of T. It is shown here that these are nicely inter-related and their being equal characterizes the TD–0 property.Quaestiones Mathematicae 34(2011), 93 ...
Arun K. Srivastava, Sheo Kumar Singh
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On a topological observation connected with topology and *-topology
2018Valuable collections such as semiopen, *-open, semi*-I-open etc. have been handled in the most of the research areas of the topology for many applications. In the present paper, a new topological collection, namely semi(I)*-open sets, containing topology and *-topology is introduced and studied.
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-Fuzzifying topologies as -topologies
Fuzzy Sets and Systems, 2002It is proved in this paper that for every completely distributive lattice L with a locally multiplicative way below relation the category of L-fuzzifying topological spaces can be embedded in the category of L-topological spaces (stratified Chang-Goguen topological spaces) as a simultaneously bireflective and bicoreflective full subcategory.
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