Results 101 to 110 of about 556,147 (204)

Topics in Topology and Homotopy Theory [PDF]

open access: yes, 2005
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  

The Consensus for Discrete-Time Heterogeneous Networked Systems Consisting of Second-Order Agents and Third-Order Agents

open access: yesIEEE Access, 2018
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

TWISTED TOPOLOGICAL GRAPH ALGEBRAS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2015
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]

open access: yesBulletin of the American Mathematical Society, 1985
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 ...
openaire   +3 more sources

On discontinuity of derivations, inducing inequivalent complete metric topologies

open access: yesExtracta Mathematicae
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
doaj   +3 more sources

On The Topology of Planar Algebraic Curves

open access: yes, 2008
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

Unreliable communication in high-performance distributed multi-agent systems: A ingenious scheme in high computing

open access: yesInternational Journal of Distributed Sensor Networks, 2018
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
doaj   +1 more source

CAD and topology of semi-algebraic sets

open access: yes, 2010
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

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
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
doaj   +1 more source

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