Results 61 to 70 of about 94 (92)

© Hindawi Publishing Corp. SOME PROPERTIES OF MAXIMAL OPEN SETS

open access: yes, 2002
Some fundamental properties of maximal open sets are obtained, such as decom-position theorem for a maximal open set. Basic properties of intersections of max-imal open sets are established, such as the law of radical closure.
Fumie Nakaoka, Nobuyuki Oda
core  

On πp--Open Sets in Hereditary Generalized Topological Spaces

open access: yes, 2016
In this paper, we define a new class of set called πp-ℋ-open sets and ( ℋ , λ)-continuous in hereditary generalized topological spaces. Also, we introduce the notions of πp-ℋ-open and πp-ℋ-closed functions by using πp-ℋ-open sets and πp-ℋ-closed sets ...
C Janaki, K Binoy Balan
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On New Types of Weakly Nano Open Functions

open access: yes, 2017
In this paper, we must utilize the ideas of a-open and a-open sets to characterize some new types of weakly nano open functions such as; a-open functions, a*-open functions, a**-open functions,
Abdulkadhim, Murtadha M.
core  

Completion Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of filter spaces (including symmetric convergence spaces [and thus symmetric topological spaces] as well as Cauchy spaces) and uniform limit spaces (including uniform spaces) with many ...
Gerhard Preuß
core  

SOME PROPERTIES OF J -HAUSDORFF, J -REGULAR AND J -NORMAL SPACES

open access: yes, 2018
In this paper we present new properties about the J - Hausdorff, J -regular and J -normal spaces, introduced recently by Suriyakala-Vembu. Additionally we introduce the J -Urysohn spaces, an intermediate concept between the Urysohn spaces and the J -
Pachon Rubiano, Néstor Raúl
core  

The Topological Universe Of Locally Precompact Semiuniform Convergence Spaces

open access: yes, 1996
. The importance of local precompactness has become apparent in theorems of the Ascoli type proved by Bentley and Herrlich [3] in the realm of filter spaces as well as by Wyler [14] in the realm of uniform limit spaces.
Gerhard Preuß
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Convenient Topology

open access: yes, 1997
. A new viewpoint of Topology, summarized under the name Convenient Topology, is considered in such a way that the structural deficiencies of topological and uniform spaces are remidied. This does not mean that these spaces are superfluous.
Gerhard Preuß
core  

Precompactness And Compactness In The Natural Function Spaces Of The Category Of Semiuniform Convergence Spaces

open access: yes, 1997
. Semiuniform convergence spaces form a common generalization of (symmetric) limit spaces (and thus of symmetric topological spaces) as well as of uniform limit spaces (and thus of uniform spaces) with many convenient properties such as cartesian ...
Gerhard Preu, Gerhard Preuß
core  

Дна бележка върху квази-линдельофовите пространства

open access: yes, 2012
Петра Г. Стайнова - Квази-линдельофовите пространства са въведени от Архангелски като усилване на слабо-линдельофовите. В тази статия се разглеждат няколко свойства на квази-линдельофовите пространства и се правят сравнения със съответни ре- зултати за ...
Staynova, Petra
core  

A Boolean Model of Ultrafilters

open access: yes, 2007
We introduce the notion of Boolean measure algebra. It can be described shortly using some standard notations and terminology. If B is any Boolean algebra, let B N denote the algebra of sequences (xn); xn 2 B: Let us write pk 2 B N the sequence such ...
Thierry Coquand
core  

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