On some conditions which imply the continuity of almost all sections
Let be an open interval, a topological space and a metric space. Some local conditions implying continuity and quasicontinuity of almost all sections of a function are shown.
Displaying 281 – 300 of 477
On some fan-tightness type properties
J. Valuyeva (1998)
Commentationes Mathematicae Universitatis Carolinae
Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.
On some generalizations of the Kakutani-Stone and Stone-Weierstrass theorems.
M. Isabel Garrido, Francisco Montalvo (1991)
Extracta Mathematicae
For a completely regular space X, C*(X) denotes the algebra of all bounded real-valued continuous functions over X. We consider the topology of uniform convergence over C*(X).When K is a compact space, the Stone-Weierstrass and Kakutani-Stone theorems provide necessary and sufficient conditions under which a function f ∈ C*(K) can be uniformly approximated by members of an algebra, lattice or vector lattice of C*(K). In this way, the uniform closure and, in particular, the uniform density of algebras...
On some maps concerning -open sets.
Caldas, M., Jafari, S., Saraf, R.K. (2007)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
On some operation on sets of mappings
W. Waliszewski (1972)
Colloquium Mathematicae
On some problems of Borsuk
E. Barton (1972)
Fundamenta Mathematicae
On some properties of the spaces of almost continuous functions.
Pawlak, Ryszard Jerzy (1996)
International Journal of Mathematics and Mathematical Sciences
On some representations of almost everywhere continuous functions on
Ewa Strońska (2006)
Colloquium Mathematicae
It is proved that the following conditions are equivalent: (a) f is an almost everywhere continuous function on ; (b) f = g + h, where g,h are strongly quasicontinuous on ; (c) f = c + gh, where c ∈ ℝ and g,h are strongly quasicontinuous on .
On some separation axioms and -closure
D. Janković (1980)
Matematički Vesnik
On some subclasses of Darboux functions
J. Jastrzębski, Jacek Jędrzejewski, Tomasz Natkaniec (1991)
Fundamenta Mathematicae
On some subspaces of the Helly space
W. F. Pfeffer (1976)
Colloquium Mathematicae
On some test spaces in dimension theory
Ali Fora (1981)
Fundamenta Mathematicae
On some weak conditions of commutativity in common fixed point theorems.
Imdad, M., Khan, M.S., Sessa, S. (1988)
International Journal of Mathematics and Mathematical Sciences
On some weak monomorphisms and weak epimorphisms of pro-HTop*.
I. Pop (1996)
Revista Matemática de la Universidad Complutense de Madrid
Related to Shape Theory, in a previous paper (1992) we studied weak monomorphisms and weak epimorphisms in the category of pro-groups. In this note we give some intrinsic characterizations of the weak monomorphisms and the weak epimorphisms in pro-HTop* in the case when one of the two objects of such a morphism is a rudimentary system.
On some weakened forms of continuity for multifunctions
V. Popa (1984)
Matematički Vesnik
On somewhat fuzzy semicontinuous functions
G. Thangaraj, Ganesan Balasubramanian (2001)
Kybernetika
In this paper the concept of somewhat fuzzy semicontinuous functions, somewhat fuzzy semiopen functions are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are also given. More examples are given to illustrate the concepts introduced in this paper.
On spaces which have the shape of compact metric spaces
Tadashi Watanabe (1979)
Fundamenta Mathematicae
On spaces with binary normal subbase
Andrzej Szymański (1982)
Colloquium Mathematicae
On spaces with the ideal convergence property
Jakub Jasinski, Ireneusz Recław (2008)
Colloquium Mathematicae
Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to , then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.
On stationary sets for certain generalizations of continuity
Jozef Doboš (1987)
Mathematica Slovaca