Results 11 to 20 of about 409,094 (131)

Nori Diagrams and Persistent Homology [PDF]

, 2020
Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical methods of topology and geometry in pure mathematics, on the other.
Manin, Yuri I., Marcolli, Matilde
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Computational Geometric and Algebraic Topology [PDF]

, 2015
Computational topology is a young, emerging field of mathematics that seeks out practical algorithmic methods for solving complex and fundamental problems in geometry and topology.

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Singularities [PDF]

, 2016
Singularity theory is a central part of contemporary mathematics. It is concerned with the local and global structure of maps and spaces that occur in algebraic, analytic or differential geometric context.

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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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Joins for (Augmented) Simplicial Sets [PDF]

, 1999
We introduce a notion of join for (augmented) simplicial sets generalising the classical join of geometric simplicial complexes. The definition comes naturally from the ordinal sum on the base simplicial category $\Delta$.Comment: 8 ...
Ehlers, P. J., Porter, T.
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The connected Vietoris powerlocale [PDF]

, 2008
The connected Vietoris powerlocale is defined as a strong monad Vc on the category of locales. VcX is a sublocale of Johnstone's Vietoris powerlocale VX, a localic analogue of the Vietoris hyperspace, and its points correspond to the weakly semifitted ...
Vickers, Steven
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On the relationship between topological and geometric defects

, 2017
The study of topology in solids is undergoing a renaissance following renewed interest in the properties of ferroic domain walls as well as recent discoveries regarding topological insulators and skyrmionic lattices.
Griffin, Sinead M., Spaldin, Nicola A.
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An Inquiry into the Practice of Proving in Low-Dimensional Topology [PDF]

, 2015
The aim of this article is to investigate specific aspects connected with visualization in the practice of a mathematical subfield: low-dimensional topology. Through a case study, it will be established that visualization can play an epistemic role.
A. Fomenko, B. Larvor, B. Morin, C.C. Adams, D. Kirsh, D. Rolfsen, H. Cruz De, H. Poincaré, J.R. Brown, J.W. Alexander, K. Manders, M. Colyan, M. Giaquinto, S-J. Shin, S. Toffoli De, V.F.R. Jones, W. Thurston, W.S. Massey   +17 more
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New Results in Sasaki-Einstein Geometry

, 2008
This article is a summary of some of the author's work on Sasaki-Einstein geometry. A rather general conjecture in string theory known as the AdS/CFT correspondence relates Sasaki-Einstein geometry, in low dimensions, to superconformal field theory ...
A. Futaki, A. Haefliger, C. P. Boyer, C.P. Boyer, C.P. Boyer, C.P. Boyer, D. Martelli, D. Martelli, D. Martelli, D. Martelli, E. Calabi, E. Kähler, E. Lerman, G. Tian, G. Tian, J. Cheeger, J. Koll á r, J. M. Maldacena, J.J. Duistermaat, J.J. Duistermaat, J.P. Gauntlett, J.P. Gauntlett, J.P. Gauntlett, J.P. Gauntlett, M. Cvetic, M. Obata, N. Seiberg, R.L. Bishop, S. Falcao de Moraes, S. Minakshisundaram, S. Sasaki, S. Smale, S.-T. Yau, S.B. Myers, Th. Friedrich, V. Apostolov, W. Chen   +36 more
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