Results 61 to 70 of about 102 (83)

One-point extensions and local topological properties

open access: yes, 2013
A space $Y$ is called an {\em extension} of a space $X$ if $Y$ contains $X$ as a dense subspace. An extension $Y$ of $X$ is called a {\em one--point extension} of $X$ if $Y\backslash X$ is a singleton. P.
Koushesh, M.R.
core  

Partition calculus for topological spaces

open access: yes, 1997
grantor: University of TorontoThe subject matter of this exposition is the study of partition relations for particular topological spaces.
Homayouni, Soheil
core   +1 more source

On The K-proximities

open access: yes, 1973
해석학에서 기본을 이루고 있는 수렴성에 관한 Cauchy sequence의 개념 또는 연속성에 관한 Uniform continuity의 개념등을 거리 개념을 매개로 하지 않고 보다 추상적인 공간에서도 다룰 수 있게 하기 위하여 1937년 불란서의 A. Weil은 uniform structure를 도입하기에 이르렀다.
최길남
core  

On Alexandroff Base Compactifications

open access: yesCanadian Journal of Mathematics, 1977
In [13] we characterized the completely regular Hausdorff spaces as the class of spaces whose topology is generated by an Alexandrofï base. A space may have more than one Alexandrofï base and each such base determines a Hausdorff compactification .
J. S. Wasileski
openaire   +3 more sources
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A-compactifications and A-weight of Alexandroff spaces

2002
Summary: The paper is devoted to the study of the ordered set \(A{\mathcal K}(X,\alpha)\) of all, up to equivalence, \(A\)-compactifications of an Alexandroff space \((X,\alpha)\). The notion of \(A\)-weight (denoted by \(aw(X,\alpha))\) of an Alexandroff space \((X,\alpha)\) is introduced and investigated. Using results from [\textit{A.
CATERINO, Alessandro   +2 more
openaire   +2 more sources

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