We give a characterization of realcompact spaces in terms of nets. By using the technique of this characterization we give easy proofs of the Tychonoff Theorem and the Alaoglu Theorem
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant general...
Abstract. The concept of realcompactification which is based on the notoin of a complete space of fu...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
AbstractWe show that every uncountable compact space has a realcompact subspace of size ω1, that if ...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
This bachelor thesis is devoted to four different proofs of Tychonoff's Theorem. The first proof is ...
In this paper a space X is pseudocompact if it is Tychonoff and every real-valued continuous functio...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
This book, intended for postgraduate students and researchers, presents many results of historical i...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:In this paper, we study some properties of relatively strong pseudocompactness and mainly sh...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant general...
Abstract. The concept of realcompactification which is based on the notoin of a complete space of fu...
AbstractAn extension of the Tychonoff theorem is obtained in characterizing a compact space by the n...
summary:As usual $C(X)$ will denote the ring of real-valued continuous functions on a Tychonoff spac...
AbstractA Tychonoff space X is nearly realcompact if βX−υX is dense in βX−X. Several characterizatio...
AbstractWe show that every uncountable compact space has a realcompact subspace of size ω1, that if ...
AbstractWe show that every compact space of large enough size has a realcompact subspace of size κ, ...
This bachelor thesis is devoted to four different proofs of Tychonoff's Theorem. The first proof is ...
In this paper a space X is pseudocompact if it is Tychonoff and every real-valued continuous functio...
As usual C(X) will denote the ring of real-valued continuous functions on a Tychonoff space X. It is...
This book, intended for postgraduate students and researchers, presents many results of historical i...
AbstractA general theorem (Theorem 1) concerning when spaces are not ultrapure in the sense of Arhan...
AbstractWe study realcompactness in the classes of submaximal and maximal spaces. It is shown that a...
summary:In this paper, we study some properties of relatively strong pseudocompactness and mainly sh...
summary:A new generalization of realcompactness based on ultrafilters of regular $F_{\sigma}$-subset...
The purpose of this paper is to show that hard pseudocompact spaces are indeed a significant general...
Abstract. The concept of realcompactification which is based on the notoin of a complete space of fu...
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