排序方式: 共有42条查询结果,搜索用时 12 毫秒
1.
We investigate some topological properties of a normal functorH introduced earlier by Radul which is some functorial compactification of the Hartman-Mycielski construction HM. We prove
that the pair (H X, HMY) is homeomorphic to the pair (Q, σ) for each nondegenerated metrizable compactumX and each denseσ-compact subsetY. 相似文献
2.
Ignacio Villanueva 《Mathematische Nachrichten》2003,250(1):98-103
We clarify and prove in a simpler way a result of Taskinen about symmetric operators on C(Kn), K an uncountable metrizable compact space. To do this we prove that, for any compact space K and any n ∈ ?, the symmetric injective n–tensor product of C(K), , is complemented in C(BC(K)*), a result of independent interest. The techniques we develop allow us to extend the result in several directions. We also show that the hypothesis of metrizability and uncountability cannot be removed. 相似文献
3.
Yuan-Qing Qiao Franklin D. Tall 《Proceedings of the American Mathematical Society》2003,131(12):3929-3936
In this paper we prove the equivalence between the existence of perfectly normal, non-metrizable, non-archimedean spaces and the existence of ``generalized Souslin lines", i.e., linearly ordered spaces in which every collection of disjoint open intervals is -discrete, but which do not have a -discrete dense set. The key ingredient is the observation that every first countable linearly ordered space has a dense non-archimedean subspace.
4.
This is a study of the completeness properties of the space C
ps
(X) of continuous real-valued functions on a Tychonoff space X, where the function space has the pseudocompact-open topology. The properties range from complete metrizability to the Baire
space property.
Dedicated to Professor Robert A. McCoy 相似文献
5.
We construct faithful actions of quantum permutation groups on connected compact metrizable spaces. This disproves a conjecture of Goswami. 相似文献
6.
7.
A new fixed point theorem and its applications 总被引:4,自引:0,他引:4
Xian Wu 《Proceedings of the American Mathematical Society》1997,125(6):1779-1783
In this paper, we first give a new fixed theorem of lower semicontinuous multivalued mappings, and then, as its applications we obtain some new equilibrium theorems for abstract economies and qualitative games.
8.
关于g-函数和弱g-函数的两个结果 总被引:1,自引:0,他引:1
利用g-函数和弱g-函数给出了度量空间的新刻划,回答了Nagata的问题. 相似文献
9.
Frink条件是构造伪度量的关键要求.本文给出Frink条件的一些等价刻画,完善了Gru—enhage论证伪度量存在性的细节,由此给出—致空间度量化定理和Alexandroff-Urysohn度量化定理的简化证明. 相似文献
10.