ENRICHED CATEGORIES AND COHOMOLOGY
نویسندگان
چکیده
منابع مشابه
Convergence and quantale-enriched categories
Generalising Nachbin's theory of ``topology and order'', in this paper we continue the study of quantale-enriched categories equipped with a compact Hausdorff topology. We compare these $V$-categorical compact Hausdorff spaces with ultrafilter-quantale-enriched categories, and show that the presence of a compact Hausdorff topology guarantees Cauchy completeness and (suitably defined) ...
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In this research announcement we propose the notion of a supercategory as an alternative approach to supermathematics. We show that this setting is rich to carry out many of the basic constructions of supermathematics. We also prove generalizations of a number of results in equivariant cohomology, including the Chern-Weil theorem for an arbitrary rigid Lie algebra object. For a quadratic Lie al...
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Article history: Received 27 November 2012 Received in revised form 4 September 2013 Accepted 20 December 2013 Communicated by B.P.F. Jacobs
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Both [Mac Lane 1965, Beck 1967] have recently defined cohomology theories for algebras in abstract categorial setting. Mac Lane’s theory is an abstract formaization of the (normalised) bar construction (see [Mac Lane 1963, p. 144] for example). Since, however, his proof of the normalization theorem (p. 236) remains perfectly valid, the normalized bar construction can be replaced by the un-norma...
متن کاملENRICHED CATEGORIES AND COHOMOLOGY To Margery, who typed the original preprint in Milan
From the outset, the theories of ordinary categories and of additive categories were developed in parallel. Indeed additive category theory was dominant in the early days. By additivity for a category I mean that each set of morphisms between two objects (each “hom”) is equipped with the structure of abelian group and composition on either side, with any morphism, distributes over addition: tha...
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ژورنال
عنوان ژورنال: Quaestiones Mathematicae
سال: 1983
ISSN: 1607-3606,1727-933X
DOI: 10.1080/16073606.1983.9632304