On σ-commutativity in Menger algebras of n-place functions

We present an abstract characterization of various types of Menger algebras of n-place functions allowing certain permutations of variables.     

（Φ，△）－TYPE PROBABILISTIC CONTRACTOR AND SOLUTIONS FOR A NONLINEAR OPERATOR EQUATIONS IN MENGER PN－SPACES

（Φ，△）－ＴＹＰＥＰＲＯＢＡＢＩＬＩＳＴＩＣＣＯＮＴＲＡＣＴＯＲＡＮＤＳＯＬＵＴＩＯＮＳＦＯＲＡＮＯＮＬＩＮＥＡＲＯＰＥＲＡＴＯＲＥＱＵＡＴＩＯＮＳＩＮＭＥＮＧＥＲＰＮ－ＳＰＡＣＥＳ￥ＦａｎｇＪｉｎｘｕａｎ（方锦暄）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔ...     

Infinite-dimensional 4-manifold of finite cohomological dimension under the continuum hypothesis

Under the assumption of the continuum hypothesis, a differentiable 4-manifoldM of dimension dimM=∞ and cohomological dimension cA—dimM=4 is constructed. The spaceM is perfectly normal and hereditarily separable. Translated fromMatematicheskie Zametki, Vol. 66, No. 5, pp. 664–670, November, 1999.     

On M-separability of countable spaces and function spaces

We study M-separability as well as some other combinatorial versions of separability. In particular, we show that the set-theoretic hypothesis b=d implies that the class of selectively separable spaces is not closed under finite products, even for the spaces of continuous functions with the topology of pointwise convergence. We also show that there exists no maximal M-separable countable space in the model of Frankiewicz, Shelah, and Zbierski in which all closed P-subspaces of ω^* admit an uncountable family of nonempty open mutually disjoint subsets. This answers several questions of Bella, Bonanzinga, Matveev, and Tkachuk.     

直观Menger内积空间及其在积分方程中的应用

首先引出和定义了直观的Menger内积空间的概念,然后在完备的直观的Menger内积空间中得出了一个新的不动点定理.作为应用,利用文中所得的结果,研究了线性Volterra积分方程解的存在性和唯一性.     

Common fixed point theorems for expansion mappings in various spaces

We prove expansion mappings theorems in various spaces i.e., metric spaces, generalized metric spaces, probabilistic metric spaces and fuzzy metric spaces, which generalize the results of various authors like Daffer and Kaneko [11], Ahmad, Ashraf and Rhoades [1], Vasuki [38], Rhoades [31] and Wang, Li, Gao and Iseki [40] etc. In the memory of 65^th birthday anniversary of his Father Late Sh. Ram Phool Sharma     

直觉Menger空间中的广义压缩映射原理及其在微分方程中的应用

利用Atanassov的思路,将直觉Menger空间定义为由Menger提出的Menger空间的自然推广.同时也得出一个新广义压缩映射,并运用该压缩映射证明了直觉Menger空间中微分方程解的存在性定理.     

A construction of classifying spaces for p-adic group actions

One major open problem in geometric topology is the Hilbert-Smith conjecture. A natural approach to this conjecture is to work on classifying spaces of p-adic integers. However, the well-known Milnor's construction of classifying space of p-adic integers is not locally connected, hence will not help to solve the conjecture, and the other known constructions are very complex. The goal of this paper is to give a new construction of classifying spaces for p-adic group actions.     

（Φ，Δ）型概率收缩与Menger PN－空间中非线性算子方程的解

本文在Ｍｅｎｓｅｒ概率赋范空间中引入了（Φ，Δ）型概率收缩的概念，研究了Ｍｅｎｇｅｒ概率赋范空间中具有这类概率收缩的非线性算子方程的解的存在性与唯一性．发展和改进了引文［１］、［４～８］的相应结果．