Results 31 to 40 of about 364 (52)
Countable tightness in the spaces of regular probability measures [PDF]
, 2014 We prove that if $K$ is a compact space and the space $P(K\times K)$ of regular probability measures on $K\times K$ has countable tightness in its $weak^*$ topology, then $L_1(\mu)$ is separable for every $\mu\in P(K)$.
Plebanek, Grzegorz, Sobota, Damian
core
The Hopf type theorem for equivariant local maps
, 2016 We study otopy classes of equivariant local maps and prove the Hopf type theorem for such maps in the case of a real finite dimensional orthogonal representation of a compact Lie group.Comment: 11 ...
Bartłomiejczyk, Piotr
core +1 more source
Spaces with a Finite Family of Basic Functions
, 2008 A space X is finite dimensional, locally compact and separable metrizable if and only if X has a finite basic family: continuous functions Phi_1,...,Phi_n of X to the reals, R, such that for all continuous f from X to R there are g_1,..., g_n in C(R ...
Gartside, Paul, Ziqin, Feng
core +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
Function spaces and contractive extensions in Approach Theory: The role of regularity
, 2013 Two classical results characterizing regularity of a convergence space in terms of continuous extensions of maps on one hand, and in terms of continuity of limits for the continuous convergence on the other, are extended to convergence-approach spaces ...
Colebunders, Eva +2 more
core +1 more source
Topological properties of function spaces over ordinals
, 2016 A topological space $X$ is said to be an Ascoli space if any compact subset $K$ of $C_k(X)$ is evenly continuous. This definition is motivated by the classical Ascoli theorem. We study the $k_R$-property and the Ascoli property of $C_p(\kappa)$ and $C_k(\
Gabriyelyan, Saak +3 more
core +1 more source
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
The Bi-Compact-Open Topology on C(X)
, 2016 For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join
Jindal, Anubha, Kundu, S., McCoy, R. A.
core +1 more source
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