Results 11 to 20 of about 47 (44)
On Pervin′s example concerning the connected‐open topology
International 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
Separation Axioms via α^m-Kernel Set associated with α^m-Closed Set [PDF]
, 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
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Singular perturbation for nonlinear boundary‐value problems
International 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
Open 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 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.
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, 1993 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 615-616, 1993.
V. Tzannes
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Survey of India Topo sheet 54D15 1988 2nd edition
, 2018 Survey of India Topo sheet 54/D15 1988 2nd ...
Survey of India (5091284) +1 more
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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
Criterion of Normality of the Completely Regular Topology of Separate Continuity [PDF]
, 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 Remarks on a Theorem of H.-J. Schmidt
, 1993 On the basis of a property of the hyperspace, H.-J. Schmidt [S] introduced implicitly a class of spaces called in the present paper HS-spaces. In [S, Theorem 11(3d)] it is stated that every Hausdorff HS-space is regular. Later on M. Paoli and E.
Dimov, George +2 more
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