Results 1 to 10 of about 121,711 (74)
, 2015 This workshop was a forum to present and discuss the latest results and ideas in algebraic topology and homotopy theory, with a special emphasis on connections to other branches of mathematics, such as algebraic geometry, representation theory, group ...
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, 2016 This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory.
Aschbacher, Michael, Oliver, Bob
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Coequalisers of formal topology [PDF]
, 2006 We give a predicative construction of quotients of formal topologies. Along with earlier results on the match up between of continuous functions on real numbers (in the sense of Bishop\u27s constructive mathematics) and approximable mappings on the ...
Palmgren, Erik
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Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed topological categories; and (2) what are the algebraic conditions which insure that algebraic ...
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Separating Topological Noise from Features Using Persistent Entropy [PDF]
, 2016 Topology is the branch of mathematics that studies shapes and maps among them. From the algebraic definition of topology a new set of algorithms have been derived.
Atienza Martínez, María Nieves +2 more
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Mathematical Models of Abstract Systems: Knowing abstract geometric forms [PDF]
, 2013 Scientists use models to know the world. It i susually assumed that mathematicians doing pure mathematics do not. Mathematicians doing pure mathematics prove theorems about mathematical entities like sets, numbers, geometric figures, spaces, etc., they ...
Marquis, Jean-Pierre
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The T-algebra spectral sequence: Comparisons and applications [PDF]
, 2014 In previous work with Niles Johnson the author constructed a spectral sequence for computing homotopy groups of spaces of maps between structured objects such as G-spaces and E_n-ring spectra.
Noel, Justin
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A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)
, 2013 In this paper we conjecture the stability and vanishing of a large piece of the unstable rational cohomology of SL_n Z, of mapping class groups, and of Aut(F_n).Comment: 18 pages. v2: final version, to appear in Algebraic Topology: Applications and New
Church, Thomas +2 more
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, 2013 The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences.
Robins, Vanessa
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From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology [PDF]
, 2018 Despite a long historical relationship between mathematics and music, the interest of mathematicians is a recent phenomenon. In contrast to statistical methods and signal-based approaches currently employed in MIR (Music Information Research), the research project described in this paper stresses the necessity of introducing a structural ...
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