Unification of almost regular, almost normal and mildly normal topological spaces
نویسندگان
چکیده
منابع مشابه
Bishwambhar Roy UNIFICATION OF ALMOST REGULAR, ALMOST NORMAL AND MILDLY NORMAL TOPOLOGICAL SPACES
In this paper, a new kind of sets called regular μ-generalized closed (briefly rμg-closed) sets are introduced and studied in a topological space. Some of their properties are investigated. Finally, some characterizations of almost μ-regular, almost μ-normal and mildly μ-normal spaces have been given.
متن کاملALMOST S^{*}-COMPACTNESS IN L-TOPOLOGICAL SPACES
In this paper, the notion of almost S^{*}-compactness in L-topologicalspaces is introduced following Shi’s definition of S^{*}-compactness. The propertiesof this notion are studied and the relationship between it and otherdefinitions of almost compactness are discussed. Several characterizations ofalmost S^{*}-compactness are also presented.
متن کاملTightening Almost Normal Surfaces
We present a specialized version of Haken’s normalization procedure. Our main theorem states that there is a compression body canonically associated to a given transversely oriented almost normal surface. Several applications are given.
متن کاملOn the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences
The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...
متن کاملMeridional Almost Normal Surfaces in Knot Complements
Suppose K is a knot in a closed 3-manifold M such that M −N(K) is irreducible. We show that for any integer b there exists a triangulation of M −N(K) such that any weakly incompressible bridge surface for K of b bridges or fewer is isotopic to an almost normal bridge surface.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2012
ISSN: 2391-4661
DOI: 10.1515/dema-2013-0415