Results 11 to 20 of about 47 (46)
Some counterexamples and properties on generalizations of Lindelöf spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 4, Page 737-746, 1996., 1995 In this paper we give some significative counterexamples to prove that some well known generalizations of Lindelöf property are proper. Also we give some new results, we introduce and study the almost regular‐Lindelof spaces as a generalization of the almost‐Lindelöf spaces and as a new and significative application of the quasi‐regular open subsets of
Filippo Cammaroto, Grazia Santoro
wiley +1 more source
Degree of (L, M)-Fuzzy Semi-Precontinuous and (L, M)-Fuzzy Semi-Preirresolute Functions
Demonstratio Mathematica, 2018 The aim of this paper is to present the degree of semi-preopenness, semi-precontinuity, and semi-preirresoluteness for functions in (L, M)-fuzzy pretopology with the help of implication operation and (L, M)-fuzzy semi-preopen operator introduced by ...
Al-Omeri Wadei F. +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 2, Page 379-384, 1992., 1990 In this paper, a new class of functions called “almost γ‐continuous” is introduced and their several properties are investigated. This new class is also utilized to improve some published results concerning weak continuity [6] and γ‐continuity [2].
F. Cammaroto, T. Noiri
wiley +1 more source
Extensions of semicontinuous and quasi-continuous functions from dense subspaces
, 2021 In this paper we give a sufficient condition for existence of an extension of a lower (upper) semicontinuous function 0 defined on a given dense subset of a topological space X to a lower (upper) semicontinuous function : X → ℝ.
Kosman, Jolanta
core
A NOTE ON PRECONTINUOUS AND ALMOST PRECONTINUOUS MAPPINGS [PDF]
, 2015 Recently, a new class of functions between topological spaces called precontinuous functions [7] has been introduced and studied (see also [2], [4], [6]).
Choudhary, P.R.S.
core +1 more source
Weak C-embedding and P -embedding, and product spaces [PDF]
, 2002 Arhangel'skiȋ defines in [Topology Appl. 70 (1996) [Topology Appl. 93 (1999) 121-129]. Moreover, suggested by weak C-embedding, we define a notion of weak Pembedding, more precisely, weak P γ -embedding for an infinite cardinal γ , which is an ...
Kaori Yamazaki, Takao Hoshina
core
Lipschitz extension theorems with explicit constants
Analysis and Geometry in Metric SpacesIn this mostly expository article, we give streamlined proofs of several well-known Lipschitz extension theorems. We pay special attention to obtaining statements with explicit expressions for the extension constants.
Basso Giuliano
doaj +1 more source
Some relative properties on normality and paracompactness, and their absolute embeddings
, 2020 Dedicated to Professor Takao Hoshina on his 60th birthday. Abstract. Paracompactness (= 2-paracompactness) and normality of a subspace Y in a space X defined by Arhangel'skii and Genedi [4] are fundamental in the study of relative topological ...
Shinji Kawaguchi, Ryoken Sokei
core
A characterization of the prime closed filter compacttification of a topological space
, 2002 Dedicated to our friends and fellow-topologists Eraldo Giuli, Mirek Hušek, and Gerhard Preuss on the occasion of their 60th birthday. The prime compactification whose points are the prime closed filters can be defined for a general topological space and ...
Herrlich, H., Bentley, HL
core
Comparison of lumbopelvic fixation and iliosacral screw fixation for the treatment of bilateral sacral fractures. [PDF]
J Orthop Surg Res, 2021 Wenning KE +3 more
europepmc +1 more source