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541.
542.
Let L be a completely distributive lattice with order reversing involution, and (X, τ) an L-fuzzy topological space. The purpose of this paper is to introduce the fundamental concept of fuzzy algebraic topology-the singular homology groups of the L-fuzzy topological space, in such a way that they take the (usual) cubical singular homology groups of a topological space as a special case. Also, we shall prove that they are L-fuzzy homeomorphic invariants. 相似文献
543.
544.
本文主要证明了以下定理:设Δ是有限连通箭图,A=kΔ/F2则A到D(A)的外导于为零的充要条件是Δ不含长度为2的圈. 相似文献
545.
We describe how the equivariant K homology class of an invariant elliptic operator on a homogeneous space of a linear semisimple Lie group determines the L
2-index of the associated operator on a finite volume locally homogeneous space. The machinery of equivariant K homology and of KK theory can be used to prove theorems about L
2-indices. We give an application motivated by the problem of calculating multiplicities of subrepresentations of quasi-regular representations.Supported by the National Science Foundation under Grant No. DMS-8903472.Supported by the National Science Foundation under Grant No. DMS-8901436. 相似文献
546.
Kevin Hutchinson 《K-Theory》1990,4(2):181-200
We give a proof of Matsumoto's theorem on K
2 of a field using techniques from homological algebra. By considering a complex associated to the action of GL(2, F) on P
1(F) (F a field), we derive the Matsumoto presentation for H
0 (F
., H
2(SL(2, F))) and, by considering the action of GL(n + 1, F) on P
n
(F), we prove the stability part of the theorem; namely, that H
0(F
., H
2(SL(2, F))) is isomorphic to H
2(SL(F)) = K
2(F). 相似文献
547.
Algebraic K-Theory and the Conjectural Leibniz K-Theory 总被引:1,自引:0,他引:1
Jean-Louis Loday 《K-Theory》2003,30(2):105-127
The analogy between algebraic K-theory and cyclic homology is used to build a program aiming at understanding the algebraic K-theory of fields and the periodicity phenomena in algebraic K-theory. In particular, we conjecture the existence of a Leibniz K-theory which would play the role of Hochschild homology. We propose a motivated presentation for the Leibniz K
2-group ofa field. 相似文献
548.
Cyclic and Hochschild homology of 2-nilpotent algebras 总被引:2,自引:1,他引:1
Claude Cibils 《K-Theory》1990,4(2):131-141
We compute the cyclic homology of a 2-nilpotent algebra, using a reduced way of obtaining it for an algebra containing a separable subalgebra as a direct summand.Supported by the Swiss National Foundation, FNSRS. 相似文献
549.
Nonexistence of stable currents 总被引:1,自引:0,他引:1
Qing-Ming Cheng 《Annals of Global Analysis and Geometry》1995,13(2):197-205
In this paper, we investigate nonexistence of stable integral currents in a compact hypersurface with positive Ricci curvature in a Euclidean spaceR
m+1 and a vanishing theorem concerning the homology group is obtained.The project was supported by NNSFC, FECC and CPSF 相似文献
550.
Andrew J. Nicas 《K-Theory》1987,1(5):437-456
Deligne defined the notion of a mixed Hodge structure (MHS) and proved that every quasiprojective variety over has a natural MHS on its cohomology. This paper establishes similar results for cyclic homology and the algebraic K-theory of simply connected quasi-projective varieties over . In the nonsimply connected case, an MHS is established on certain quotient groups of algebraic K-theory.Supported by a NSERC University Research Fellowship and operating grant. 相似文献