Results 21 to 30 of about 53 (53)

A topological lattice on the set of multifunctions

International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 665-668, 1989., 1988
Let X be a Wilker space and M(X,Y) the set of continuous multifunctions from X to a topological space Y equipped with the compact‐open topology. Assuming that M(X,Y) is equipped with the partial order ⊂ we prove that (M(X,Y), ⊂) is a topological V‐semilattice.
Basil K. Papadopoulos
wiley   +1 more source

Fine topology on function spaces

International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 417-424, 1986., 1986
This paper studies the topological properties of two kinds of “fine topologies” on the space C(X, Y) of all continuous functions from X into Y.
R. A. McCoy
wiley   +1 more source

Complete function spaces

International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 2, Page 271-277, 1983., 1983
A study is made of certain completeness properties of the space of all continuous real‐valued functions on a space, where this function space has the compact‐open topology.
R. A. Mccoy
wiley   +1 more source

On certain groups of functions

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 491-504, 1980., 1980
Let C(X, G) denote the group of continuous functions from a topological space X into a topological group G with the pointwise multiplication and the compact‐open topology. We show that there is a natural topology on the collection of normal subgroups Δ(X) of C(X, G) of the Mp = {f ∈ C(X, G) : f(p) = e} which is analogous to the hull‐kernel topology on ...
J. S. Yang
wiley   +1 more source

k‐space function spaces

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 701-711, 1980., 1980
A study is made of the properties on X which characterize when Cπ(X) is a k‐space, where Cπ(X) is the space of real‐valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k‐space property are also considered.
R. A. McCoy
wiley   +1 more source

Topologies between compact and uniform convergence on function spaces

, 1991
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 101-109, 1993.
S. Kundu, R. A. McCoy
wiley   +1 more source

The open‐open topology for function spaces

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 1, Page 111-116, 1993.
Kathryn F. Porter
wiley   +1 more source

On the Borel complexity and the complete metrizability of spaces of metrics

Analysis and Geometry in Metric Spaces
Given a metrizable space XX, let AM(X)AM\left(X) be the space of continuous bounded admissible metrics on XX, which is endowed with the sup-metric. In this article, we shall investigate the Borel complexity and the complete metrizability of AM(X)AM\left ...
Koshino Katsuhisa
doaj   +1 more source

LΣ(≤ ω)-spaces and spaces of continuous functions

Open Mathematics, 2010
Lara Israel, Okunev Oleg
doaj   +1 more source

The Lindelöf number of C p(X)×C p(X) for strongly zero-dimensional X

Open Mathematics, 2011
Okunev Oleg
doaj   +1 more source