Results 11 to 20 of about 1,693,281 (169)

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
core   +7 more sources

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
core   +6 more sources

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, Rudolf Fritsch, Fritsch, Rudolf, Piccinini, Renzo A., Rudolf Fritsch, et al.   +4 more
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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, Waldhausen, Friedhelm, Williams, Bruce, John R Klein, Vogell, Wolrad, Thomas Hüttemann, Hüttemann, Thomas, Friedhelm Waldhausen, Klein, John R., Bruce Williams, Klein, John R   +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, Williams, Bruce, Vogell, Wolrad, Hüttemann, Thomas, Klein, John R.   +4 more
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Smooth constructions of homotopy-coherent actions

, 2022
We prove that, for nice classes of infinite-dimensional smooth groups G , natural constructions in smooth topology and symplectic topology yield homotopically coherent group actions of G . This yields a bridge between infinite-dimensional smooth groups
OH, YONG GEUN, Tanaka, Hiro Lee, Yong-Geun Oh   +2 more
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Some properties of the Thom spectrum over loop suspension of complex projective space [PDF]

, 2013
This note provides a reference for some properties of the Thom spectrum Mξ over ΩΣCP^∞. Some of this material is used in recent work of Kitchloo and Morava.
Roitzheim, Constanze, Constanze Roitzheim, Barnes, David, Lück, Wolfgang, Birgit Richter, Steimle, Wolfgang, Andrew Baker, Wolfgang Steimle, David Barnes, Barnes, David; id_orcid, Richter, B., Dotto, Emanuele, Baker, A., Wolfgang Lück, Arolla Conference on Algebraic Topology 2012 Evolène-Arolla, Ausoni, Christian 1968-   +15 more
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Wreath products and representations of p-local finite groups [PDF]

, 2009
Peer ...
Libman, Assaf, Castellana, Natalia
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Sketches of a platypus : persistent homology and its algebraic foundations

, 2014
The subject of persistent homology has vitalized applications of algebraic topology to point cloud data and to application fields far outside the realm of pure mathematics.
Vejdemo-Johansson, Mikael, Mikael Vejdemo-Johansson, Vejdemo-Johansson, Mikael,   +2 more
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Exact Discrete Stochastic Simulation With Deep‐Learning‐Scale Gradient Optimization

Advanced Science, EarlyView.
A 203,796‐parameter gene regulatory network classifies handwritten digits with 98.4% accuracy using exact stochastic dynamics. The framework decouples forward simulation from backward differentiation, making continuous‐time Markov chain models compatible with deep‐learning optimization.
Jose M. G. Vilar, Leonor Saiz
wiley   +1 more source