Results 21 to 30 of about 364 (52)
The regular open‐open topology for function spaces
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 299-302, 1996., 1995 The regular open‐open topology, Troo, is introduced, its properties for spaces of continuous functions are discussed, and Troo is compared to Too, the open‐open topology. It is then shown that Troo on H(X), the collection of all self‐homeomorphisms on a topological space, (X, T), is equivalent to the topology induced on H(X) by a specific quasi ...
Kathryn F. Porter
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(Quasi)‐uniformities on the set of bounded maps
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 693-696, 1994., 1993 From real analysis it is known that if a sequence {fn, n ∈ ℕ} of real‐valued functions defined and bounded on X ⊂ ℝ converges uniformly to f, then f is also bounded and the sequence {fn, n ∈ ℕ}. In the present paper we generalize results as the above using (quasi)‐uniform structures.
Basil K. Papadopoulos
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Variations of selective separability and tightness in function spaces with set open topologies [PDF]
, 2016 We study tightness properties and selective versions of separability in bitopological function spaces endowed with set-open topologies.Comment: 19 ...
Osipov, Alexander V., Özçağ, Selma
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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
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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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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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On the Pytkeev property in spaces of continuous functions
, 2010 Answering a question of Sakai, we show that the minimal cardinality of a set of reals X such that C_p(X) does not have the Pytkeev property is equal to the pseudo-intersection number p.
Simon, Petr, Tsaban, Boaz
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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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