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Fuzzy Sets and Systems, 1998
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Categories of Gestures over Topological Categories
2017We generalize the topological approach to gestures, and culminate in the construction of a gesture bicategory, which enriches the classical Yoneda embedding and could be a valid candidate for the conjectured space X in the diamond conjecture [720]; see also Section 61.12.
Guerino Mazzola +6 more
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Topological Localization, Category and Cocategory
Canadian Journal of Mathematics, 1975It is easy to see that a localization (in the sense of [9]) of a simply connected co H-space (equivalently a simply connected space of Liusternik-Schnirelman category one) is again a co H-space. (All spaces in this paper will be pointed and have the based homotopy type of a connected CW complex; and all maps will preserve base-points.) We show that the
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Model Categories in Algebraic Topology
Applied Categorical Structures, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HEREDITARY TOPOLOGICAL CATEGORIES AND TOPOLOGICAL UNIVERSES
Quaestiones Mathematicae, 1986Abstract This paper contains an investigation of hereditary topological categories. Useful and illustrative descriptions and pleasant properties of their one-point-extensions are developed and used for a characterization of heredity. The results are applied to the problem to find necessary and sufficient conditions for a bi(co)reflective subcategory of
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1976
The background in the theory of sets needed to read this book is amply supplied by what is given in ordinary university courses. (See for example the first chapters of the textbooks of A.N. Kolmogorov and S.V. Fomin [38] and of G. E. Silov [49].) One can find more penetrating treatments (including an exact definition of the concept of set) in the books
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The background in the theory of sets needed to read this book is amply supplied by what is given in ordinary university courses. (See for example the first chapters of the textbooks of A.N. Kolmogorov and S.V. Fomin [38] and of G. E. Silov [49].) One can find more penetrating treatments (including an exact definition of the concept of set) in the books
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Injectivity of topological categories
Algebra Universalis, 1989The authors unify, in generalizing, the results of \textit{H. Herrlich} [Math. Z. 150, 101-110 (1976; Zbl 0319.18001)] and \textit{G. C. L. Brümmer} and \textit{R.-E. Hoffmann} [Lect. Notes Math. 540, 136-151 (1976; Zbl 0334.54001)] on injective fibre-small concrete categories over a base category and injective hulls with three of their variants.
Adámek, J., Strecker, George E.
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CATEGORIES OF TOPOLOGICAL GROUPS
Quaestiones Mathematicae, 1977Abstract This paper is a survey of recent (and some not so recent, results concerning categorical constructions on topological groups, with particular emphasis on free topological groups and coproducts (free products) of topological groups. An extensive bibliography is included.
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Topology via enriched categories
2014Having as a starting point the characterization of probabilistic metric spaces as enriched categories over the quantale , conditions that allow the generalization of results relating Cauchy sequences, convergence of sequences, adjunctions of V-distributors and its representability are established.
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Derived Categories in Topology
2004The first section contains various basic facts on sheaves, including the definition of (hyper) cohomology, some standard associated spectral sequences and several versions of the celebrated de Rham Theorem. After briefly discussing the derived tensor product in the second section, we give an ample introduction to the direct and inverse images of ...
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