Results 21 to 30 of about 305,462 (309)

Homology in Varieties of Groups. III [PDF]

open access: yesTransactions of the American Mathematical Society, 1971
The study of (co-) homology groups Z,3(HX A), SnI3(H, A), 3 a variety, 11 a group in 3, and A a suitable 11-module, is pursued. They are compared with a certain Tor and Ext. The definition of the homology of an epimorphism due to Rinehart is shown to agree with that due to Barr and Beck (whenever both are defined).
openaire   +3 more sources

The cobordism group of homology cylinders [PDF]

open access: yes, 2010
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group.
Friedl, Stefan   +5 more
core   +1 more source

Bredon homology and equivariant K-homology of SL(3,Z) [PDF]

open access: yes, 2008
We obtain the equivariant K-homology of the classifying space underline{E}SL(3,Z) from the computation of its Bredon homology with respect to finite subgroups and coefficients in the representation ring.
Sanchez-Garcia, Ruben
core   +1 more source

Chern character for totally disconnected groups [PDF]

open access: yes, 2009
In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C., Christian Voigt
core   +1 more source

Ultrametrics on Čech homology groups [PDF]

open access: yes, 2019
This paper is devoted to introducing additional structure on Čech homology groups. First, we redefine the Čech homology groups in terms of what we have called approximative homology by using approximative sequences of cycles, just as Borsuk introduced ...
Á. Sánchez-González   +5 more
core   +2 more sources

Path homology theory of edge-colored graphs

open access: yesOpen Mathematics, 2021
In this paper, we introduce the category and the homotopy category of edge-colored digraphs and construct the functorial homology theory on the foundation of the path homology theory provided by Grigoryan, Muranov, and Shing-Tung Yau.
Muranov Yuri V., Szczepkowska Anna
doaj   +1 more source

On the use of algebraic topology concepts to check the consistency of genome assembly

open access: yesBiophysics and Physicobiology, 2019
This paper presents a preliminary work consisting of two contributions. The first one is the design of a very efficient algorithm based on an “Overlap-Layout-Consensus” (OLC) graph to assemble the long reads provided by 3rd generation technologies.
Jean-François Gibrat
doaj   +1 more source

Homology groups and decomposition of the game complex [PDF]

open access: yesAUT Journal of Mathematics and Computing
In this paper, we introduce a novel simplicial complex named Game Complex for finite non-cooperative games in the strategic form. We prove that the number of Nash equilibrium in non-cooperative games with more than two players is the rank of the first ...
Neda Shojaee, Aidin Fallah
doaj   +1 more source

Pyrimidine Biosynthesis and Ribonucleoside Metabolism in Species of Pseudomonas

open access: yesFermentation, 2023
Pyrimidine biosynthesis and ribonucleoside metabolism in species of Pseudomonas was the focus of this review, in relation to their current taxonomic assignments in different homology groups.
Thomas P. West
doaj   +1 more source

Computing the homology of groups: The geometric way [PDF]

open access: yes, 2012
In this paper, we present several algorithms related with the computation of the homology of groups, from a geometric perspective (that is to say, carrying out the calculations by means of simplicial sets and using techniques of Algebraic Topology). More
Romero, Ana   +3 more
core   +1 more source

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