In [3], two new kinds of topologies called the open-point topology and bi-point-open on C(X), set all real-valued continuous functions a Tychonoff space X, have been introduced. this article, we study separability P(X), maps [0; 1] into Hausdorff with topologies. Our result also demonstrates, claim made in that both domain as well codomain play significant roles construction

Compactification of a space X is compact containing as dense subspace. Magills construction for compactications fixed Tychonoff through partitions applied to derive various spaces (X;T), with set and variation in topologies 'T'. Some possible extensions mappings are obtained this regard. In extension topological group, the inverse operation should be extendable homeomorphically from base group....

Following guidance from the Organizing Committee, the authors give a brief introduction to the theory of spaces which are resolvable in the sense introduced by Hewitt (1943). The new results presented here are these. (A) A countably compact regular Hausdorff space without isolated points is w-resolvable--that is, it admits an infinite family of pairwise disjoint dense subsets. (B) Among Tychono...

Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in RN with the Schauder-Tychonoff fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class semilinear elliptic equations are established. The results of the semilinear equations...