Results 21 to 30 of about 68 (67)
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
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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
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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
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Some applications of exponentially separable spaces
, 2021 We prove that any finite product of functionally countable spaces is functionally countable if it has the Lindelöf property. In particular, any nite product of functionally countable Lindelof Σ-spaces is functionally countable.
Tkachuk, Vladimir V.
core
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
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Averaging operators and set-valued maps [PDF]
, 2014 MSC 2010: 54C35, 54C60.We investigate maps admitting, in general, non-linear averaging operators. Characterizations of maps admitting a normed, weakly additive averaging operator which preserves max (resp., min) and weakly preserves min (resp., max) is ...
Valov, Vesko
core
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
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The Lindelöf number greater than continuum is u-invariant [PDF]
, 2011 2000 Mathematics Subject Classification: 54C35, 54D20, 54C60.Two Tychonoff spaces X and Y are said to be l-equivalent (u-equivalent) if Cp(X) and Cp(Y) are linearly (uniformly) homeomorphic. N. V.
Arbit, A. V.
core
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
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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
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