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作者:Luke Hodgkin
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2000, Vol.2 (1), pp.119-126
摘要:Recent results of Voevodsky and others have effectively led to the proof of theLichtenbaum-Quillen conjectures at the prime 2, and consequently made itpossible to determine the 2-homotopy type of the $K$-theory spectra for variousnumber rings. The basic case is that of $ BGL({\Bb...
作者:Jeremy Brazas
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2012, Vol.14 (1), pp.33-63
摘要:Using universal constructions of topological groups, one canendow the fundamental group of a space with a topologyand obtain a topological group. Additionally, the fundamentalgroupoid of a space becomes enriched over Top when the homsetsare endowed with similar topologies. This p...
作者:A. Lazarev
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2003, Vol.5 (1), pp.73-100
摘要:Motivated by ideas from stable homotopy theory we study the space of stronglyhomotopy associative multiplications on a two-cell chain complex. In thesimplest case this moduli space is isomorphic to the set of orbits of a group ofinvertible power series acting on a certain space. ...
作者:A. S. Dzhumadiľdaev , S. S. Ibraev
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2002, Vol.4 (2), pp.141-163
摘要:Second cohomology groups of irreducible representations of classical Lie algebras$A_2, B_2$ and $G_2$ over an algebraically closed field of characteristic$p>h$ are calculated. Here $h$ is the Coxeter number.
作者:Alan L. T. Paterson
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2000, Vol.2 (1), pp.89-104
摘要:In this paper, we define and investigate the properties of continuous familygroupoids. This class of groupoids is necessary for investigating the groupoidindex theory arising from the equivariant Atiyah-Singer index theorem forfamilies, and is also required in noncommutative geom...
作者:Friedrich W. Bauer , Tamar Datuashvili
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2007, Vol.9 (1), pp.107-138
摘要:The model structure on the category of chain functors $\mathfrak{Ch}$, developedin [4], has the main features of a simplicial model category structure, takinginto account the lack of arbitrary (co-)limits in $\mathfrak{Ch}$. After anappropriate tensor and cotensor structure ...
作者:Markus Linckelmann
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2009, Vol.11 (1), pp.203-218
摘要:We give a cohomological criterion for the existence and uniqueness of solutions of the $2$-cocycle gluing problemin block theory. The existence of a solution for the $2$-cocycle gluing problem is further reduced to a propertyof fusion systems of certain finite groups associated w...
作者:Joshua Roberts
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2010, Vol.12 (1), pp.27-37
摘要:Given a finitely presented group G, Hopf's formula expresses the second integralhomology of G in terms of generators and relators. We give an algorithm thatexploits Hopf's formula to estimate H2(G;k), with coefficients in a finite fieldk, and give examples using G=SL2 over specif...
作者:Thomas Geisser
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2014, Vol.16 (2), pp.33-43
摘要:The purpose of this paper is to give homological descent theoremsfor motivic homology theories (for example, Suslin homology)and motivic Borel-Moore homology theories (for example,higher Chow groups) for certain hypercoverings.
作者:A. M. Vieites , J. M. Casas
来源:[J].Homology, Homotopy and Applications(IF 0.433), 2002, Vol.4 (1), pp.29-42
摘要:In this paper certain central extensions of crossed modules are classified. Forthese extensions, we obtain several results which extend the classical ones forcentral extensions of groups. In particular, central stem extensions of aperfect crossed module are classified in terms of...

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