Concerning products of proximally fine uniform spaces
Concerning Sets of the First Baire Category with Respect to Different Metrics
We prove that if and δ are the Hausdorff metric and the radial metric on the space ⁿ of star bodies in ℝ, with 0 in the kernel and with radial function positive and continuous, then a family ⊂ ⁿ that is meager with respect to need not be meager with respect to δ. Further, we show that both the family of fractal star bodies and its complement are dense in ⁿ with respect to δ.
Concerning Splittability and Perfect Mappings
Concerning the Banach-Stone theorem
Concerning the classification of topological spaces from the stand point of the theory of retracts
Concerning the dimension of ANR-sets
Concerning the set of retractions
Concerning the shapes of n-dimensional spheres
Concerning the structure of dendritic spaces
Concerning the topological products of two Fréchet spaces
Concerning the unions of absolute neighborhood retracts having brick decompositions
Concerning the weight of topological spaces
Concerning the Whitehead Theorem for movable compacta
Concerning two covering properties
Concerning unicoherence of continua
Concrete methods for summing almost periodic functions and their relation to uniform distribution of semigroup actions
Concrete refinements of uniform spaces
Condensations of Cartesian products
We consider when one-to-one continuous mappings can improve normality-type and compactness-type properties of topological spaces. In particular, for any Tychonoff non-pseudocompact space there is a such that can be condensed onto a normal (-compact) space if and only if there is no measurable cardinal. For any Tychonoff space and any cardinal there is a Tychonoff space which preserves many properties of and such that any one-to-one continuous image of , , contains a closed copy...
Condensations of Tychonoff universal topological algebras
Let be a Tychonoff (regular) paratopological group or algebra over a field or ring or a topological semigroup. If and , then there exists a Tychonoff (regular) topology such that and is a paratopological group, algebra over or a topological semigroup respectively.
Condición necesaria y suficiente para la existencia de funciones continuas, no constantes de X en [0,1].
This paper deals with the existence of non constant real valued functions on a topological space X. The main results are related to closed covers and order properties.