共查询到20条相似文献,搜索用时 15 毫秒
1.
We study here the G-shadowing property of the shift map σ on the inverse limit space X
f, generated by an equivariant self-map f on a metric G-space X.
相似文献
2.
W. K. Min 《Acta Mathematica Hungarica》2008,121(3):283-292
We introduce and study the concepts of weak neighborhood systems, weak neighborhood spaces, ω(ψ, ψ′)-continuity, ω-continuity and ω*-continuity on WNS’s.
This work was supported by a grant from Research Institute for Basic Science at Kangwon National University. 相似文献
3.
V. I. Malykhin 《Mathematical Notes》1998,64(3):351-356
It is proved that the space of continuous functions on the ordinary closed interval with the topology of pointwise convergence
is not subsequential. In sequential spaces satisfying certain conditions, subspaces dense-in-themselves without convergent
sequences are found; such subspaces are constructed in certain sequential compact spaces and semitopological groups.
Translated fromMatematicheskie Zametki, Vol. 64, No. 3, pp. 407–413, September, 1998.
The author thanks the participants of Arkhangel'skii's seminar held at Moscow State University for useful discussions of this
work. 相似文献
4.
Shixin Gan 《数学学报(英文版)》1999,15(2):187-196
In this paper, we prove that under theF
4 conditions, anyL log+
L bounded two-parameter Banach spece valued martingale converges almost surely to an integrable Banach space valued random
variable if and only if the Banach space has the Radon-Nikodym property. We further prove that the above conclusion remains
true if theF
4 condition is replaced by the weaker localF
4 condition.
Project supported by the National Natural Science Foundation of China and the State Education Commission Ph. D. Station Foundation 相似文献
5.
Images on locally separable metric spaces 总被引:20,自引:0,他引:20
6.
We investigate Besov spaces and their connection with trigonometric polynomial approximation inL
p[−π,π], algebraic polynomial approximation inL
p[−1,1], algebraic polynomial approximation inL
p(S), and entire function of exponential type approximation inL
p(R), and characterizeK-functionals for certain pairs of function spaces including (L
p[−π,π],B
s
a(L
p[−π,π])), (L
p(R),s
a(Lp(R))),
, and
, where 0<s≤∞, 0<p<1,S is a simple polytope and 0<α<r.
This project is supported by the National Science Foundation of China. 相似文献
7.
V. I. Malykhin 《Mathematical Notes》1998,64(5):607-615
The presence of disjoint dense (Borel) subsets in Tychonoff cubes, Borel subspaces of Tychonoff cubes, and dyadic compacta
is examined. Several problems are stated.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 701–712, November, 1998.
The author wishes to express his gratitude to V. Shchigolev for fruitful discussion of some questions touched upon in this
paper and to the referee for valuable comments and suggestions concerning the style and the content.
This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01619. 相似文献
8.
It is proved that ifX is a connected locally continuumwise connected coanalytic nowhere topologically complete space, then the hyperspace 2
X
of all nonempty compact subsets ofX is strongly universal in the class of all coanalytic spaces. Moreover, 2
X
is homeomorphic to Π2 ifX is a Baire space, and toQ∖Π1 ifX contains a dense absoluteG
δ-setG ⊂X such that the intersectionG ∩U is connected for any open connectedU ⊂X. (Here Π1, Π1⊂X are the standard subsets of the Hilbert cubeQ absorbing for the classes of analytic and coanalytic spaces, respectively.) Similar results are obtained for higher projective
classes.
Translated fromMatematicheskie Zametki, Vol. 62, No. 1, pp. 35–51, July, 1997.
Translated by O. V. Sipacheva 相似文献
9.
This paper merges some classifications of G-M-type Banach spaces simplifically, discusses the condition of K
0(B(X)) = 0 for operator algebra B(X) on a Banach space X, and obtains a result to improve Laustsen's sufficient condition, gives an example to show that X ≈ X
2 is not a sufficient condition of K
0(B(X)) = 0. 相似文献
10.
Eugenia Cheng 《Applied Categorical Structures》2007,15(4):439-453
We make a definition of ω-precategory which should underlie any definition of weak ω-category. We make a precise definition of pseudo-invertible cells in this setting. We show that in an ω-precategory with all weak duals, every cell is pseudo-invertible. We deduce that in any “sensible” theory of ω-categories, an ω-category with all weak duals is an ω-groupoid. We discuss various examples and open questions involving higher-dimensional tangles and cobordisms.
相似文献
11.
We introduce new classes of sets called Λ
g
-closed sets and Λ
g
-open sets in topological spaces. We also investigate several properties of such sets. It turns out that Λ
g
-closed sets and Λ
g
-open sets are weaker forms of closed sets and open sets, respectively and stronger forms of g-closed sets and g-open sets, respectively.
Dedicated to Professor Maximilian Ganster on the occasion of his 50th birthday 相似文献
12.
We construct, assuming the continuum hypothesis (CH), two (strongly) Fréchet spaces whose product is sequential and its sequential order is for any given ω1. 相似文献
13.
Shui-Li Chen Guo-Long Chen Jian-Cheng Zhang 《Fuzzy Optimization and Decision Making》2008,7(4):351-360
In this paper, an ω-convergence theory of filters in an Lω-space is established. By means of the ω-convergence theory, some important characterizations with respective to the ω-closed sets, ω
T
2 separation and (ω
1, ω
2)-continuous mappings are obtained. Moreover, the mutual relationships among ω-convergence of molecular nets, ω-convergence of ideals and ω-convergence of filters are given. 相似文献
14.
15.
François Ledrappier Mark Pollicott 《Bulletin of the Brazilian Mathematical Society》2005,36(2):143-176
In this paper we study the ergodic properties of the linear action of lattices Γ of SL(2,ℚp) on ℚp × ℚp and distribution results for orbits of Γ. Following Serre, one can define a “geodesic flow” for an associated tree (actually
associated to GL(2,ℚp)). The approach we use is based on an extension of this approach to “frame flows” which are a natural compact group extension
of the geodesic flow. 相似文献
16.
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
17.
M. V. Medvedeva 《Mathematical Notes》1998,64(5):616-621
In this paper we study functions belonging to the classesV
ε and ΛBV, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding
of the classesH
ω in the classesV
ϕ and ABV are obtained.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 713–719, November, 1998.
This research was supported by the program “Leading Scientific Schools” under grant No. 96/97-15-96073. 相似文献
18.
19.
We prove that the space C
c
(X) of the real-valued continuous functions with the compact-open topology is quasi-Souslin iff it is K-analytic. This implies that C
c
(X) is K-analytic iff it is dominated by the irrationals.
Partially supported by the project MTM2005-01182 of the Spanish Ministry of Education and Science, co-financed by the European
Community (Feder projects). 相似文献
20.