Results 21 to 30 of about 66 (65)
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
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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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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.
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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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Kadec Norms on Spaces of Continuous Functions [PDF]
, 2006 2000 Mathematics Subject Classification: Primary: 46B03, 46B26. Secondary: 46E15, 54C35.We study the existence of pointwise Kadec renormings for Banach spaces of the form C(K).
Wiesaw, Kubis +2 more
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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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Rational homotopy of mapping spaces between complex Grassmannians
, 2020 The complex Grassmann Gr(k, n) is the space of k dimensional subspaces of Cn. It is a complex manifold of complex dimension k(n − k). There is a natural inclusion ik,n : Gr(k, n) ,→ Gr(k, n + r).
Gatsinzi, Jean Baptiste +2 more
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