Colimits in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this paper we find sufficient conditions for a direct system of Segal topological algebras to have a colimit in the category Seg of Segal topological algebras.
Mart Abel
doaj +3 more sources
Coproducts in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we find a sufficient condition for a family of Segal topological algebras to have a coproduct in the category Seg.
Mart Abel
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Products and coproducts in the category S(B) of Segal topological algebras; pp. 89–99 [PDF]
Proceedings 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
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Segal operations in the algebraic K-theory of topological spaces [PDF]
Annals of K-Theory, 2019 Revision corrects typographical errors, corrects some omissions, replaces quoted (long) definitions with specific references to literature, and reorganizes material ...
Gunnarsson, Thomas, Staffeldt, Ross
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Some remarks on the Gelfand–Naimark–Segal representations of topological *-algebras [PDF]
Journal of Mathematical Physics, 2008 After an appropriate restatement of the Gelfand–Naimark–Segal construction for topological *-algebras we prove that there exists an isomorphism among the set Cycl(A) of weakly continuous strongly cyclic *-representations of a barreled dual-separable *-algebra with unit A, the space HilbA(A*) of the Hilbert spaces that are continuously embedded in A*
Sergio Iguri, Mario Castagnino
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Coequalizers and pullbacks in the category Seg of Segal topological algebras [PDF]
Proceedings of the Estonian Academy of Sciences, 2021 In this paper we describe the coequalizers in the category Seg of Segal topological algebras and present some sufficient conditions for the existence of pullbacks in Seg.
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About the transitivity of the property of being Segal topological algebra
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2022 We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A)) (g(f(A))⊆ g(f(A))g(B) or g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.
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About the cocompleteness of the category S(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2020 In this paper, we show that the category S(B) of Segal topological algebras is cocomplete, i.e., that the colimits of all direct systems in the category S(B) exist.
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About the limits of inverse systems in the category S(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2020 In this paper, we give a necessary condition for the existence of limits of all inverse systems and a sufficient condition for the existence of limits for all countable inverse systems in the category S(B) of Segal topological algebras.
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Higher representation stability for ordered configuration spaces
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley +1 more source