Continuous extensions: answer to a question of Hanner
Continuous functions on countable subspaces
Continuous images and other topological properties of Valdivia compacta
We study topological properties of Valdivia compact spaces. We prove in particular that a compact Hausdorff space K is Corson provided each continuous image of K is a Valdivia compactum. This answers a question of M. Valdivia (1997). We also prove that the class of Valdivia compacta is stable with respect to arbitrary products and we give a generalization of the fact that Corson compacta are angelic.
Continuous images of which are homeomorphic to .
Contra-continuous functions and strongly -closed spaces.
Contractive fixed points
Contre-exemples associés aux théorèmes de Rosenthal. Quelques propriétés liées à ces résultats
Convergence in compacta and linear Lindelöfness
Let be a compact Hausdorff space with a point such that is linearly Lindelöf. Is then first countable at ? What if this is true for every in ? We consider these and some related questions, and obtain partial answers; in particular, we prove that the answer to the second question is “yes” when is, in addition, -monolithic. We also prove that if is compact, Hausdorff, and is strongly discretely Lindelöf, for every in , then is first countable. An example of linearly Lindelöf...
Convergence in exponentiable spaces.
Convergence of a sequence of fixed points in a uniform space
Convergence of conditional expectations for unbounded closed convex random sets
We discuss here several types of convergence of conditional expectations for unbounded closed convex random sets of the form where is a decreasing sequence of sub-σ-algebras and is a sequence of closed convex random sets in a separable Banach space.
Convergent sequences in
Coronas of ultrametric spaces
We show that, under CH, the corona of a countable ultrametric space is homeomorphic to . As a corollary, we get the same statements for the Higson’s corona of a proper ultrametric space and the space of ends of a countable locally finite group.
Correction to the paper “A generalization of -compact spaces”
Correction to the paper: Pairwise monotonically normal spaces
Correction to the paper: Sets invariant under projections onto one dimensional subspaces
Correction to the paper “The Bohr compactification, modulo a metrizable subgroup” (Fund. Math. 143 (1993), 119–136)
Corrigendum to “Minimal -spaces are countably compact”
Countable And Uncountable Covers
Countable and Uncountable covers.