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5 621 (0,073s) •

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Categorically algebraic topology versus universal topology

) topology, introduced as a common framework for the majority of the existing many-valued topological settings, to provide convenient means of interaction between different approaches. Motivated by the results of universal topol...

BA - Obecná matematika

  • 2013
    • •
  • Jx
Result

Topologically semiperfect topological rings

We define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a module, endowed with the finite topology, is ...

Pure mathematics

  • 2024
    • •
  • Jimp
    • •
  • Link
Result

Topological structuring of the digital plane

We discuss an Alexandroff topology on the digital plane having the property that its quotient topologies include the Khalimsky and Marcus-Wyse topologies. We introduce a further quotient topology of the topolog...

Pure mathematics

  • 2013
    • •
  • Jost
    • •
  • Link
Result

On fuzzification of topological categories

This paper shows that(L, M)-fuzzy topology of U. Höhle, T. Kubiak and A. Šostak is an instance of a general fuzzification procedure for topological categories, which amounts to the construction of a new topological category...

BA - Obecná matematika

  • 2014
    • •
  • Jx
    • •
  • Link
Result

Digital Jordan curves

A new topology is defined on the digital plane and then studied. In particular, an analogy of the Jordan curve theorem is proved for this topology....

BA - Obecná matematika

  • 2006
    • •
  • Jx
Result

Are finite affine topological systems worthy of study?

There exists the notion of topological system of S. Vickers, which provides a common framework for both topological spaces and the underlying algebraic structures of their topologies -- locales. A well-known result of S. A....

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

Properties related to the first countability of hyperspace topologies.

Properties of hyperspace topologies like first-countability are studied. Some Choban.and.s theorem are generalized.

BA - Obecná matematika

  • 2001
    • •
  • Jx
Result

Topological groups with invariant linear spans

Given a topological group G that can be embedded as a topological subgroup into some topological vector space (over the field of reals) we say that G has invariant linear span if all linear spans of G under arbitrary embedd...

Pure mathematics

  • 2022
    • •
  • Jimp
    • •
  • Link
Result

Convenient topologies on the digital plane

Certain convenient topologies on the digital plane are studied.

BA - Obecná matematika

  • 2008
    • •
  • Jx
Result

Functorial semantics of topological theories

a similar setting for general topology. The cornerstone of the new framework is the notion of categorically-algebraic (catalg) topological theory, whose models induce a category of topological structures. We introduce the ...

BA - Obecná matematika

  • 2015
    • •
  • Jx
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