Results 101 to 110 of about 556,147 (204)
Topics in Topology and Homotopy Theory [PDF]
This book is addressed to those readers who have been through Rotman (or its equivalent), possess a wellthumbed copy of Spanier, and have a good background in algebra and general topology.
Warner, Garth
core
This paper studies the consensus problem for the heterogeneous multiagent systems. The systems considered are assumed to consist of second-order agents and third-order agents.
Huanyu Zhao, Shumin Fei
doaj +1 more source
SARS-CoV-2 becoming more infectious as revealed by algebraic topology and deep learning. [PDF]
Chen J, Wang R, Wei GW.
europepmc +1 more source
TWISTED TOPOLOGICAL GRAPH ALGEBRAS [PDF]
We define the notion of a twisted topological graph algebra associated to a topological graph and a $1$-cocycle on its edge set. We prove a stronger version of a Vasselli's result. We expand Katsura's results to study twisted topological graph algebras.
openaire +3 more sources
𝐶*-algebras and differential topology [PDF]
Let M be a smooth closed manifold. The isotopy classes of smooth structures on M can be made into a finite abelian group \(\Sigma(M).\) The author constructs the homomorphism \(\vartheta(\Sigma(M)\to K^ 0(M))\) into the multiplicative group of units. The main results: there is a manifold M with a second structure \(\alpha \in \Sigma (M)_{(2)}\), for ...
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On discontinuity of derivations, inducing inequivalent complete metric topologies
We give an elementary method for constructing commutative Fréchet algebras with non-unique Fréchet algebra topology. The result is applied to show that the action of any non-algebraic analytic function may fail to be uniquely defined among other useful ...
S.R. Patel
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On The Topology of Planar Algebraic Curves
International audienceWe introduce a method to compute the topology of planar algebraic curves. The curve may not be in generic position and may have vertical asymptotes.
Lazard, Sylvain +5 more
core +1 more source
Designing of distributed consensus algorithms featuring accuracy, robustness, reliability, and speed of convergence is in high demand for various multi-agent applications. In this research, it has been investigated to device a novel design of distributed
Ali Mustafa +3 more
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CAD and topology of semi-algebraic sets
International audienceAlthough Cylindrical Algebraic Decomposition (CAD) is widely used to study the topology of semi-algebraic sets (especially algebraic curves), there are very few studies of the topological properties of the output of the CAD ...
Daniel Lazard, Lazard, Daniel
core +1 more source
Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves
New algebraic relations are presented, involving anticommuting Grassmann variables and Berezin integral, and corresponding naturally to Pachner moves in three and four dimensions.
Igor G. Korepanov
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