Results 21 to 30 of about 1,474,815 (298)
On Enriched Categories and Induced Representations
Theory and Applications of Categories, 2023 We show that induced representations for a pair of $\textit{diffeological Lie groups}$ exist, in the form of an indexed colimit in the category of diffeological spaces.
Leslie, Joshua A., Twum, Ralph A.
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Restriction categories as enriched categories
Theoretical Computer Science, 2014 Restriction categories were introduced to provide an axiomatic setting for the study of partially defined mappings; they are categories equipped with an operation called restriction which assigns to every morphism an endomorphism of its domain, to be thought of as the partial identity that is defined to just the same degree as the original map. In this
J. Robin B. Cockett, Richard Garner
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User Identity Information Aggregation Method for Darknet Web Page [PDF]
Jisuanji gongcheng, 2023 The distribution of user identity information dispersed across darknet Web pages exhibits sparse and irregular characteristics, and current mainstream information aggregation techniques cannot be directly applied to this context.
Yuyan WANG, Jiapeng ZHAO, Jinqiao SHI, Liyan SHEN, Hongmeng LIU, Yanyan YANG
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Frontiers in Plant Science, 2022 To explore the molecular mechanisms of the antifungal compound phenazine-1-carboxamide (PCN) inhibits Rhizoctonia solani and discover potential targets of action, we performed an integrated analysis of transcriptome and metabolome in R.
Ya Zhang +3 more
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THH and Traces of Enriched Categories [PDF]
International Mathematics Research Notices, 2020 Abstract We prove that topological Hochschild homology (THH) arises from a presheaf of circles on a certain combinatorial category, which gives a universal construction of THH for any enriched $\infty $-category. Our results rely crucially on an elementary, model-independent framework for enriched higher-category theory, which may be of ...
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Homotopy theory of Moore flows (II)
Extracta Mathematicae, 2021 This paper proves that the q-model structures of Moore flows and of multipointed d-spaces are Quillen equivalent. The main step is the proof that the counit and unit maps of the Quillen adjunction are isomorphisms on the q-cofibrant objects (all objects ...
Philippe Gaucher
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Generalized Enriched Nonexpansive Mappings and Their Fixed Point Theorems
Abstract and Applied Analysis, 2023 This paper introduces a novel category of nonlinear mappings and provides several theorems on their existence and convergence in Banach spaces, subject to various assumptions.
Rahul Shukla, Rekha Panicker
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ENRICHED CATEGORIES AND COHOMOLOGY [PDF]
Quaestiones Mathematicae, 1983 This is a reprint of the paper with the same title published in [\textit{R. Street}, Quaest. Math. 6, 265--283 (1983; Zbl 0523.18007)]. It is endowed with the author's comments on its background and further development since its first appearance.
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Homological Localisation of Model Categories [PDF]
, 2013 One of the most useful methods for studying the stable homotopy category is localising at some spectrum E. For an arbitrary stable model category we introduce a candidate for the E–localisation of this model category. We study the properties of this new
Roitzheim, Constanze +4 more
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ON THE HOMOTOPY THEORY OF ENRICHED CATEGORIES [PDF]
The Quarterly Journal of Mathematics, 2013 We give sufficient conditions for the existence of a Quillen model structure on small categories enriched in a given monoidal model category. This yields a unified treatment for the known model structures on simplicial, topological, dg- and spectral categories.
Berger, C., Moerdijk, I.
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