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991.
本短文指出度数为3、边色数为4的图的边数 e(G):e(G)≥[11v(G)-3]/8是否为真的图,指的是临界图.其中 v(G)表示 G 的点数. 相似文献
992.
A. V. Kosyak 《Functional Analysis and Its Applications》2003,37(1):65-68
An analog of the quasiregular representation is defined for the group of infinite-order finite upper triangular matrices. It uses G-quasi-invariant measures on some G-spaces. The criterion for the irreducibility and equivalence of the constructed representations is given. This criterion allows us to generalize Ismagilov's conjecture on the irreducibility of an analog of regular representations of infinite-dimensional groups. 相似文献
993.
Coarse Baum-Connes conjecture 总被引:1,自引:0,他引:1
Guoliang Yu 《K-Theory》1995,9(3):199-221
In this paper, we shall prove the coarse Baum-Connes conjecture for metric spaces with Lipschitz good covers. This class of metric spaces includes trees and simply connected nonpositively curved manifolds.Supported by DMS8505550 through a MSRI Postdoctoral Fellowship. 相似文献
994.
IstvÁn Talata 《Geometriae Dedicata》1999,74(1):61-71
For a collection C of convex bodies let h(C) be the minimum number m with the property that every element K of C can be covered by m or fewer smaller homothetic copies of K. Denote by C
d
*
the collection of all duals of cyclic d-polytopes, d 2. We show that h(C
2k
*
)=(k +1)2 for any k 2. We also prove the inequalities (d+1) (d+3)/4 h(C
d
*
) (d+1) 2/2$ for any d 2. 相似文献
995.
Using the theory of existence of periodic solutions of Hamiltonian systems, it is shown that many periodic solutions of differential
delay equations can be yielded from many families of periodic solutions of the coupled generalized Hamiltonian systems. Some
sufficient conditions on the existence of periodic solutions of differential delay equations are obtained. As a corollary
of our results, the conjecture of Kaplan-Yorke on the search for periodic solutions for certain special classes of scalar
differential delay equations is shown to be true when
.
Project supported by the National Natural Science Foundation of China (Grant No. 19731003) and Science Foundation of Yunnan
Province. 相似文献
996.
Ulrike Tillmann 《K-Theory》1992,6(1):57-86
TheK-theory of the group algebra [] for a countable, discrete group is defined in terms of the simplicial ring of smooth simplices on [], where [] is given the fine topology with respect to its finite-dimensional, linear subspaces. The assembly map for this theory :K
*
B K
* [] is studied and shown to be a rational injection. The proof uses the Connes-Karoubi Chern character fromK-theory of Banach algebras to cyclic homology, here generalized to any fine topological algebra, and proved to be multiplicative. 相似文献
997.
Murray Gerstenhaber Mary E. Schaps 《Transactions of the American Mathematical Society》1997,349(8):3353-3371
The Donald-Flanigan conjecture asserts that the integral group ring of a finite group can be deformed to an algebra over the power series ring with underlying module such that if is any prime dividing then is a direct sum of total matric algebras whose blocks are in natural bijection with and of the same dimensions as those of We prove this for using the natural representation of its Hecke algebra by quantum Yang-Baxter matrices to show that over localized at the multiplicatively closed set generated by and all , the Hecke algebra becomes a direct sum of total matric algebras. The corresponding ``canonical" primitive idempotents are distinct from Wenzl's and in the classical case (), from those of Young.
998.
S. Yu. Nemirovskii 《Mathematical Notes》1998,63(4):527-532
The paper is devoted to the study of necessary and sufficient topological conditions for an embedded real surface to lie in a strictly pseudoconvex domain on a complex surface. These results are used to construct Stein domains on algebraic manifolds and to describe envelopes of holomorphy of real surfaces in P
2 and in some other complex surfaces.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 599–606, April, 1998.The author is grateful to A. Vitushkin for the statement of the problem and for constant encouragement.This research was partially supported by the Russian Foundation for Basic Research under grant No. 96-01-01002 and by the International Science Foundation under grant No. a97-1850. 相似文献
999.
P. I. Katsylo 《Mathematical Notes》1998,63(4):464-470
Two results on the degrees of polynomial mappings 22 are obtained.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 527–534, April, 1998. 相似文献
1000.
Donggeng Gong 《Transactions of the American Mathematical Society》1998,350(6):2141-2183
We prove the equivariant Novikov conjecture for groups acting on Euclidean buildings by using an equivariant Hilsum-Skandalis method. We also obtain an equivariant version of the Connes-Gromov-Moscovici theorem for almost flat -algebra bundles.