Results 61 to 70 of about 94 (92)
© Hindawi Publishing Corp. SOME PROPERTIES OF MAXIMAL OPEN SETS
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
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On πp--Open Sets in Hereditary Generalized Topological Spaces
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
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.
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Completion Of Semiuniform Convergence Spaces
. 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
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SOME PROPERTIES OF J -HAUSDORFF, J -REGULAR AND J -NORMAL SPACES
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
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The Topological Universe Of Locally Precompact Semiuniform Convergence Spaces
. 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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. 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
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. 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
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Дна бележка върху квази-линдельофовите пространства
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
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A Boolean Model of Ultrafilters
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
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