COARSE VERSION OF HOMOTOPY THEORY (AXIOMATIC STRUCTURE) [PDF]
, 2013 In topology, homotopy theory can be put into an algebraic framework. The most complete such framework is that of a Quillen model Category [[15], [5]]. The usual class of coarse spaces appears to be too small to be a Quillen model category.
Mohamad, Nadia
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Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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Cellular structures in Topology [PDF]
, 1990 This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type.
Renzo Piccinini +4 more
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Symmetry-Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies. [PDF]
Adv Sci (Weinh)A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Yang J +14 more
europepmc +2 more sources
Contributions to the essential dimension of finite and algebraic groups [PDF]
, 2010 Essential dimension, introduced by Joe Buhler and Zinovy Reichstein and in its most general form by Alexander Merkurjev is a measure of complexity of algebraic objects such as quadratic forms, hermitian forms, central simple algebras and étale algebras ...
Lötscher, Roland
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The "fundamental theorem" for the algebraic K-theory of spaces. I [PDF]
, 2001 Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 2001;160(1):21-52.Let X H A(X) denote the algebraic K-theory of spaces functor.
Wolrad Vogell +10 more
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The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution [PDF]
, 2002 Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. II: The canonical involution. Journal of Pure and Applied Algebra.
Waldhausen, Friedhelm +4 more
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Poisson algebras via model theory and differential-algebraic geometry [PDF]
, 2017 Brown and Gordon asked whether the Poisson Dixmier–Moeglin equivalence holds for any complex affine Poisson algebra, that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide.
Moosa, Rahim +8 more
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Geometrical Theory on Combinatorial Manifolds [PDF]
, 2005 Topological and differential structures such as those of d-pathwise connected, homotopy classes, fundamental d-groups in topology and tangent vector fields, tensor fields, connections, Minkowski norms in differential geometry on these finitely ...
Mao, Linfan
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An Eilenberg-Ganea phenomenon for actions with virtually cyclic stabilizers
, 2014 In dimension 3 and above, Bredon cohomology gives an acurate purely algebraic description of the minimal dimension of the classifying space for actions of a group with stabilisers in any given family of subgroups.
Martin G. Fluch +3 more
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