Results 51 to 60 of about 556,147 (204)

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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ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics) [PDF]

, 2023
Recently, there has been a growing interest in the relations between algebraic topology and physics. Algebraic topology is used to classify physical systems, and it can be a very powerful tool to analyze physical problems in purely mathematical ways.
YAMASHITA, MAYUKO
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Trends in Differential Geometry and Algebraic Topology

Axioms
With this Editorial, we present a Special Issue of Axioms entitled “Trends in Differential Geometry and Algebraic Topology [...]
Byungdo Park
doaj   +1 more source

Fundamentals of algebraic topology

, 2014
This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod.
Weintraub, Steven H
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Developed Zariski Topology-Graph

Discussiones Mathematicae - General Algebra and Applications, 2017
In this paper, we introduce the developed Zariski topology-graph as- sociated to an R-module M with respect to a subset X of the set of all quasi-prime submodules of M and investigate the relationship between the algebraic properties of M and the ...
Hassanzadeh-Lelekaami Dawood, Karimi Maryam   +1 more
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Rational homotopy type of projectivization of the tangent bundle of certain spaces [PDF]

Arab Journal of Mathematical Sciences
PurposeThe paper aims to determine the rational homotopy type of the total space of projectivized bundles over complex projective spaces using Sullivan minimal models, providing insights into the algebraic structure of these spaces.Design/methodology ...
Jean Baptiste Gastinzi, Meshach Ndlovu
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Finite-time average consensus for multi-agent systems under impulsive disturbances

Nantong Daxue xuebao. Ziran kexue ban, 2023
This study explores finite-time average consensus in multi-agent systems with switching topologies under impulsive disturbances. Utilizing algebraic graph theory, finite-time stability theorems, and impulsive control theory,criteria for finite-time ...
GENG Xiaopeng; Lü Xiaoxiao
doaj   +1 more source

Topics of Stochastic Algebraic Topology [PDF]

, 2012
Stochastic algebraic topology studies random or partly known spaces depending on many random parameters. Such spaces typically arise in applications as configuration spaces of large systems.
Farber, Michael, Costa, A. E., Kappeler, T., Farber, M, Kappeler, Thomas, Costa, A E   +5 more
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Integration of the Kenzo System within SageMath for New Algebraic Topology Computations [PDF]

, 2021
This work integrates the Kenzo system within Sagemath as an interface and an optional package. Our work makes it possible to communicate both computer algebra programs and it enhances the SageMath system with new capabilities in algebraic topology, such ...
Cuevas-Rozo, Julián, Divasón, J., Romero, A., Jose Divasón, Marco-Buzunáriz, Miguel [0000-0002-6750-8971], Divasón, Jose [0000-0002-5173-128X], Julián Cuevas-Rozo, Cuevas-Rozo, J., Marco-Buzunáriz, M., Ana Romero, Romero, Ana [0000-0001-9745-417X], Miguel Marco-Buzunáriz, Divasón, Jose, 0000-0001-6613-670X, Marco-Buzunáriz, Miguel, Romero, Ana, 0000-0001-9745-417X, 0000-0002-5173-128X   +17 more
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Algebraic topology and related topics

, 2019
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.
Wu, Jie, Singh, Mahender, Song, Yongjin
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