Results 11 to 20 of about 28,809 (88)
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.
M. Abel
openaire +2 more sources
The homotopy theory of strong homotopy algebras and bialgebras [PDF]
, 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 +5 more sources
About pushouts in the category φ(B) of Segal topological algebras
Proceedings of the Estonian Academy of Sciences, 2019 In this paper, we answer positively the open question, posed in [2], about the existence of pushouts in the category φ(B) of Segal topological algebras.
M. Abel
openaire +3 more sources
Derived sections of Grothendieck fibrations and the problems of homotopical algebra
Applied Categorical Structures, 2016 The description of algebraic structure of n-fold loop spaces can be done either using the formalism of topological operads, or using variations of Segal's $\Gamma$-spaces.
Balzin, Edouard
core +2 more sources
ABOUT SOME CATEGORIES OF SEGAL TOPOLOGICAL ALGEBRAS
Poincare Journal of Analysis and Applications, 2019 We will construct two categories of Segal topological algebras and prove some of their categorical properties. We will show that several properties known for categories (of sets, for example) have analogues in the category S (B) of Segal topological ...
M. Abel
openaire +2 more sources
Advances in Theoretical and Mathematical Physics, 2018 Closed strings can be seen either as one-dimensional objects in a target space or as points in the free loop space. Correspondingly, a B-field can be seen either as a connection on a gerbe over the target space, or as a connection on a line bundle over ...
Bunk, Severin, Waldorf, Konrad
core +2 more sources
A Z2-topological index as a Z2-state index [PDF]
Journal of Mathematics and Physics, 2022 Within the setting of infinite-dimensional self-dual CAR C* algebras describing fermions in the [Formula: see text] lattice, we depart from the well-known Araki–Evans [Formula: see text] index for quasi-free fermion states and rewrite it in terms of ...
N. Aza +2 more
semanticscholar +1 more source
Segal operations in the algebraic K-theory of topological spaces [PDF]
Annals 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
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*
Iguri, S.M., Castagnino, M.A.
openaire +3 more sources
About the density property in the space of continuous maps vanishing at infinity; pp. 282–290 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 The conditions when C0(X)âY is dense in C0(X;Y) in the compact-open topology on C0(X;Y) are given. This result is used for describing the properties of topological Segal algebras.
Mart Abel
doaj +1 more source