Results 1 to 10 of about 8,245 (86)

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

open access: yesProceedings 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]

open access: yesProceedings 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
doaj   +2 more sources

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   +2 more sources

Segal operations in the algebraic K-theory of topological spaces [PDF]

open access: yesAnnals of K-Theory, 2019
We extend earlier work of Waldhausen which defines operations on the algebraic $K$-theory of the one-point space. For a connected simplicial abelian group $X$ and symmetric groups $ _n$, we define operations $ ^n \colon A(X) \rightarrow A(X{\times}B _n)$ in the algebraic $K$-theory of spaces. We show that our operations can be given the structure of
Gunnarsson, Thomas, Staffeldt, Ross
openaire   +4 more sources

Coequalizers and pullbacks in the category Seg of Segal topological algebras [PDF]

open access: yesProceedings 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.
openaire   +2 more sources

Some remarks on the Gelfand–Naimark–Segal representations of topological  *-algebras [PDF]

open access: yesJournal 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*
Iguri, S.M., Castagnino, M.A.
openaire   +3 more sources

Generalized Fock spaces and the Stirling numbers [PDF]

open access: yes, 2018
The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D.   +14 more
core   +3 more sources

Dualizability in Low-Dimensional Higher Category Theory [PDF]

open access: yes, 2013
These lecture notes form an expanded account of a course given at the Summer School on Topology and Field Theories held at the Center for Mathematics at the University of Notre Dame, Indiana during the Summer of 2012.
Schommer-Pries, Christopher
core   +2 more sources

The homotopy theory of strong homotopy algebras and bialgebras [PDF]

open access: yes, 2010
Lada introduced strong homotopy algebras to describe the structures on a deformation retract of an algebra in topological spaces. However, there is no satisfactory general definition of a morphism of strong homotopy (s.h.) algebras.
Pridham, J. P.
core   +4 more sources

Some Comments on Branes, G-flux, and K-theory [PDF]

open access: yes, 2000
This is a summary of a talk at Strings2000 explaining three ways in which string theory and M-theory are related to the mathematics of K-theory.Comment: 10pp ...
GREGORY MOORE, Moore G., Witten E.
core   +2 more sources

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