Results 11 to 20 of about 44 (44)

On Pervin′s example concerning the connected‐open topology

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 223-226, 1990., 1990
Irudayanathan and Naimpally [1] introduced a topology for function spaces (called the connected‐open topology) which has the property that the connected functions form a closed set provided that the codomain is completely normal. Pervin [2] gave an example showing that the proviso cannot be weakened to normality.
T. B. M. McMaster
wiley   +1 more source

Singular perturbation for nonlinear boundary‐value problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 1, Page 61-68, 1979., 1978
Asymptotic solutions of a class of nonlinear boundary‐value problems are studied. The problem is a model arising in nuclear energy distribution. For large values of the parameter, the differential equations are of the singular‐perturbation type and approximations are constructed by the method of matched asymptotic expansions.
Rina Ling
wiley   +1 more source

Epi-mild normality

open access: yesOpen Mathematics, 2018
A space (X, τ) is called epi-mildly normal if there exists a coarser topology τ′ on X such that (X, τ′) is Hausdorff (T2) mildly normal. We investigate this property and present some examples to illustrate the relationships between epi-mild normality and
Kalantan Lutfi, Alshammari Ibtesam
doaj   +1 more source

A Tychonoff non‐normal space

open access: yes, 1993
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 615-616, 1993.
V. Tzannes
wiley   +1 more source

Survey of India Topo sheet 54D15 1988 2nd edition

open access: yes, 2018
Survey of India Topo sheet 54/D15 1988 2nd ...
Survey of India (5091284)   +1 more
core   +1 more source

Weak C-embedding and P -embedding, and product spaces [PDF]

open access: yes, 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  

Criterion of Normality of the Completely Regular Topology of Separate Continuity [PDF]

open access: yes, 2006
2000 Mathematics Subject Classification: 54C10, 54D15, 54G12.For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately ...
Grinshpon, Yakov S.
core  

Some relative properties on normality and paracompactness, and their absolute embeddings

open access: yes, 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  

Separation Axioms via α^m-Kernel Set associated with α^m-Closed Set

open access: yes, 2015
In this paper, we introduce a new class of sets called -kernel set and study their basic properties in topological spaces.
Imran, Qays Hatem
core  

Sobriety and Semi-Sobriety of L-Topological Spaces

open access: yes, 2004
This is a sequel to a paper "Fuzzy sobriety and fuzzy Hausdorff" which appeared in this journal vol. 20, 1997. The relationships between sobriety and fuzzy Hausdorff concepts are more subtle than was envisaged there and a concept of semi-sobriety ...
Kotzé, Wesley
core  

Home - About - Disclaimer - Privacy