Results 11 to 20 of about 126,856 (194)
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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, 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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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
The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
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Dyer-Lashof-Cohen operations in Hochschild cohomology [PDF]
, 2005 We give explicit formulae for operations in Hochschild cohomology which are analogous to the operations in the homology of double loop spaces. As a corollary we obtain that any brace algebra in finite characteristic is always a restricted Lie algebra ...
Tourtchine, Victor
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Intrinsic linking and knotting of graphs in arbitrary 3-manifolds [PDF]
, 2005 We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a graph is intrinsically knotted in M if and only if it is intrinsically ...
Blake Mellor +10 more
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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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A mapping theorem for topological complexity [PDF]
, 2015 Peer reviewedPublisher ...
Grant, Mark +2 more
core +3 more sources