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- W4298645903 abstract "Algebraic operations are understood as topologiztion of algebra. They become an example of simplest convergence space. In our article the convergence is a arbitrary multivalued appointment. The continuity of some mapping between two convergence spaces is defined as a property of commuting squares. The adherence space is defined as a special convergence. The continuity in such spaces is understood as a local property, in contrary to the global continuity property in topological spaces. Possible bounded mappings in bornological spaces is also introduced, without deeper investigation. The local counterpart of bornological space is defined as proximity space. The new notions of continuity are non trivially also for a functional mappings, therefore they got their own names in English." @default.
- W4298645903 created "2022-10-02" @default.
- W4298645903 creator A5091373158 @default.
- W4298645903 date "2010-04-19" @default.
- W4298645903 modified "2023-10-17" @default.
- W4298645903 title "United sight to an algebraic operations and convergence" @default.
- W4298645903 doi "https://doi.org/10.48550/arxiv.1004.3248" @default.
- W4298645903 hasPublicationYear "2010" @default.
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