Results 1 to 10 of about 127,173 (169)
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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, 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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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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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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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 ...
openaire +3 more sources
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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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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Peak reduction technique in commutative algebra
, 1999 The "peak reduction" method is a powerful combinatorial technique with applications in many different areas of mathematics as well as theoretical computer science.
D Wright +11 more
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Non-isotopic Heegaard splittings of Seifert fibered spaces [PDF]
, 2006 We find a geometric invariant of isotopy classes of strongly irreducible Heegaard splittings of toroidal 3-manifolds. Combining this invariant with a theorem of R Weidmann, proved here in the appendix, we show that a closed, totally orientable Seifert ...
Bachman +9 more
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Integrated and Differentiated Spaces of Triangular Fuzzy Numbers
, 2017 Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling.
Kirişci, Murat
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