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Showing 1 to 11 of 11 for “"loop spaces"”.
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Loop Spaces and Iterated Higher Dimensional Enrichment
… the categories and functors that correspond to loop spaces and their associated topological functors. Progress towards this goal has been advanced greatly by the recent work of Balteanu, Fiedorowicz, Schwänzl, and Vogt who show a direct correspondence between k–fold monoidal categories and …
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Homology products on Z2-quotients of free loop spaces of spheres
… of quotients by finite group actions of the free loop space ΛM of a compact manifold M. We compute some of the these products in the case M is as sphere. We show that there are nonnilpotent classes with respect to these products for spheres. The energy functional on ΛM associated to a Riemannian …
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An infinite loop space structure for K-theory of bimonoidal categories
… a [Gamma]-(2-category), which gives an infinite loop space structure on K(R). We show that the equivalence mentioned above is an equivalence of infinite loop spaces.
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Operads and Homotopy Theory
… extending the classical theories of groups, spaces with actions of groups, covering spaces and classifying spaces of groups. Group operads apply to homotopy theory via their associated monads. As an application, all braid groups and symmetric groups are used to produce a free group model for …
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On Hopf Algebra Type and Rational Calculus Decompositions
… Part I. Other examples include the cohomology of loop spaces and the Poincare-Birkhoff Witt theorem for Lie algebras over fields of characteristic zero.
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Connecting models of configuration spaces: From double loops to strings
… They are central to the study of iterated loop spaces, and the specific case of <em>n</em> = 2 is key in the solution of the Deligne Conjecture. In this paper we examine the connection between two <em>E</em> 2 operads, namely the little 2-cubes operad <em>C</em> 2 itself and the operad of …
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Especificación orientada a objetos de sistemas de cálculo simbólico
… and homotopy groups of complex topological spaces, such as iterated loop spaces. These systems have provided groups that had never been obtained before by any other theoretical or mechanical method. From a computational point of view, these systems present the characteristic of having to …
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Objetos localmente efectivos y tipos abstractos de datos
… of homology groups of infinite topological spaces (namely, iterated loop spaces). In order to perform a formal analysis of the EAT data structures, an operation on Abstract Data Types is defined. This operation (defined within the classical Algebraic Specification framework) is inspired by …
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Homología efectiva y sucesión espectral de Eilenberg-Moore
… logiciel Lisp calculant l'homologie entière des espaces de lacets itérés. Dans le chapitre 1, on introduit une machine théorique (inspirée du X-calcul).où il faut interpréter les resultats de calculabilité démontrés dans les chapitres suivants. Le deuxième chapitre est consacré à étudier les …
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Homologie effective des espaces de lacets itérés: un logiciel
… logiciel Lisp calculant l'homologie entière des espaces de lacets itérés. Dans le chapitre 1, on introduit une machine théorique (inspirée du X-calcul).où il faut interpréter les resultats de calculabilité démontrés dans les chapitres suivants. Le deuxième chapitre est consacré à étudier les …
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Internal Yoneda Ext Groups, Central H-spaces, and Banded Types
… setting, as well as a novel class of central H-spaces along with their associated bands. The former are fundamental notions from homological algebra that support important computations in traditional homotopy theory. We develop these tools with the goal of supporting similar computations in our …