Results 1 to 10 of about 22,859 (168)

On injective objects and existence of injective hulls in 𝑄-TOP/(𝑌, 𝜎) [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2022
In this paper, motivated by Cagliari and Mantovani, we have obtained a characterization of injective objects (with respect to the class of embeddings in the category 𝑄-TOP of 𝑄-topological spaces) in the comma category 𝑄-TOP/(𝑌,𝜎), when (𝑌,𝜎) is a ...
Harshita Tiwari, Rekha Srivastava
doaj   +1 more source

Induced (E,M)−structures on Topological Categories

open access: yesRevista Integración, 2021
In this paper, we describe a convenient categorical structure with respect to a class of monomorphisms M and epimorphisms E for any topological category.
Juan Angoa Amador   +2 more
doaj   +1 more source

Pre-Hausdorffness and Hausdorffness in Quantale-Valued Gauge Spaces

open access: yesMathematics, 2022
In this paper, we characterize each of T0, T1, Pre-Hausdorff and Hausdorff separation properties for the category L-GS of quantale-valued gauge spaces and L-gauge morphisms.
Samed Özkan   +3 more
doaj   +1 more source

Some topological aspects of interval spaces

open access: yesAIMS Mathematics, 2023
In previous papers, several $ T_{0} $, $ T_{2} $ objects, $ D $-connectedness and zero-dimensionality in topological categories have been introduced and compared.
Muhammad Qasim   +3 more
doaj   +1 more source

Composing topological domain walls and anyon mobility

open access: yesSciPost Physics, 2023
Topological domain walls separating 2+1 dimensional topologically ordered phases can be understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk topological orders.
Peter Huston, Fiona Burnell, Corey Jones, David Penneys
doaj   +1 more source

Localizations in Universal Topological Categories [PDF]

open access: yesProceedings of the American Mathematical Society, 1988
For some familiar topological categories it is shown that the subcategory of indiscrete spaces is the only nontrivial localization.
F. Cagliari, S. Mantovani
openaire   +1 more source

Topological Complexity and LS-Category of Certain Manifolds

open access: yesJournal of Mathematics, 2023
The Lusternik–Schnirelmann category and topological complexity are important invariants of topological spaces. In this paper, we calculate the Lusternik–Schnirelmann category and topological complexity of products of real projective spaces and their ...
Fezzeh Akhtarifar   +1 more
doaj   +1 more source

Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces

open access: yesJournal of Mathematics, 2021
An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent to a molecule in LX.
Ting Yang   +4 more
doaj   +1 more source

Products and coproducts in the category S(B) of Segal topological algebras; pp. 89–99 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2019
Let B be a topological algebra and S(B) the category of Segal topological algebras. In the present paper we show that all coproducts of two objects of the category S(B) always exist.
Mart Abel
doaj   +1 more source

Limits in the category Seg of Segal topological algebras [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2022
In this paper we find several sufficient conditions for a family of Segal topological algebras to have a limit in the category Seg of Segal topological algebras.
Mart Abel
doaj   +1 more source

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