Results 91 to 100 of about 31,935 (188)

Homotopy ends and Thomason model categories [PDF]

Selecta Mathematica, 2001
39 pages, AMS-TeX file using ...
openaire   +3 more sources

A Survey of Sparse Representation: Algorithms and Applications

IEEE Access, 2015
Sparse representation has attracted much attention from researchers in fields of signal processing, image processing, computer vision, and pattern recognition.
Zheng Zhang, Yong Xu, Jian Yang, Xuelong Li, David Zhang   +4 more
doaj   +1 more source

Homotopy epimorphisms and Lusternik-Schnirelmann category [PDF]

Proceedings of the American Mathematical Society, 1975
This paper examines the relationship of the LusternikSchnirelmann category and related numerical homotopy invariants to the epimorphisms in the homotopy category. The results are of the form: if N is a numerical homotopy invariant and f: X -f Y is an epimorphism, then under certain hypotheses N(X) > N(Y).
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On Fuzzy ideal Homotopy Lifting Property

Wasit Journal for Pure Sciences
In algebraic topology, F.I.H.L.P., or fuzzy ideal Homotopy Lifting Property is   a key principle that offers a foundation for comprehending continuous mappings between topological spaces.
Shahad Hillal Tuaimah, Daher Waly AL - Baydli AL - Baydli   +1 more
doaj   +1 more source

The homotopy category and derived category of N-complexes

Journal of Algebra, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Xiaoyan, Ding, Nanqing
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Cogroupoid structures on the circle and the Hodge degeneration

Forum of Mathematics, Sigma
We exhibit the Hodge degeneration from nonabelian Hodge theory as a $2$ -fold delooping of the filtered loop space $E_2$ -groupoid in formal moduli problems. This is an iterated groupoid object which in degree $1$ recovers the filtered
Tasos Moulinos
doaj   +1 more source

Generalized homotopy in \(C\)-categories

, 2001
A \(C\)-category is a category with a class of fibrations and a cone endofunctor \(C\) subject to suitable axioms. The authors define homotopy groups associated to pairs of morphisms of the form \(i: B\to A\), \(h: CA\to X\) in a \(C\)-category, where \(i\) is a cofibration.
Díaz Díaz, Francisco Javier, Remedios Gómez, Josué, Rodríguez Machín, Sergio   +2 more
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Homotopy limits of categories

Journal of Pure and Applied Algebra, 1994
Given a diagram \(A : {\mathcal I} \to {\mathcal C}at\) of small categories, \textit{R. W. Thomason} [Math. Proc. Cambridge Philos. Soc. 85, 91-109 (1979; Zbl 0392.18001)] proved that the Grothendieck construction \({\mathcal I} \int A\) is a category with nerve homotopically equivalent to hocolim NA, the homotopy colimit of NA, the corresponding ...
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Instanton density operator in lattice QCD from higher category theory

SciPost Physics
A natural definition for instanton density operator in lattice QCD has long been desired. We show this problem is, and has to be, solved by higher category theory.
Jing-Yuan Chen
doaj   +1 more source

An explicit categorical construction of instanton density in lattice Yang-Mills theory

Journal of High Energy Physics
Since the inception of lattice QCD, a natural definition for the Yang-Mills instanton on lattice has been long sought for. In a recent work [1], one of authors showed the natural solution has to be organized in terms of bundle gerbes in higher homotopy ...
Peng Zhang, Jing-Yuan Chen
doaj   +1 more source