Non-homeomorphic density topologies |
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Authors: | Stanis?aw Wroński |
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Institution: | (1) Institute of Mathematics, Łódź Technical University, al. Politechniki 11, I-2, PL-90-924 Łódź, Poland |
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Abstract: | In ANISZCZYK, B.-FRANKIEWICZ, R.: Non homeomorphic density topologies, Bull. Polish Acad. Sci. Math. 34 (1986), 211–213] the authors constructed 2c non-homeomorphic density topologies tied to the concept of measure. In WROŃSKI, S.: The number of non-homeomorphic I-density topologies. Institute of Mathematics of Polish Academy of Sciences. Preprint 482, December 1990, XXXIV Semester in Banach Center, Theory
of Real Functions] an analogous construction has been given for topologies tied to the concept of category. Here we present
a generalization containing both the results mentioned above. This generalization based only on the topological ideas is independent
of the concept of measure or category.
Communicated by L’ubica Holá |
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Keywords: | density topology selector autohomeomorphism Stone isomorphism |
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