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.
Condiciones suficientes para la paracompacidad-c. Aplicación a un teorema de metrización.
Conditions under which the least compactification of a regular continuous frame is perfect
We characterize those regular continuous frames for which the least compactification is a perfect compactification. Perfect compactifications are those compactifications of frames for which the right adjoint of the compactification map preserves disjoint binary joins. Essential to our characterization is the construction of the frame analog of the two-point compactification of a locally compact Hausdorff space, and the concept of remainder in a frame compactification. Indeed, one of the characterizations...
Conditions which ensure that a simple map does not raise dimension
The present paper deals with those continuous maps from compacta into metric spaces which assume each value at most twice. Such maps are called here, after Borsuk and Molski (1958) and as in our previous paper (1990), simple. We investigate the possibility of decomposing a simple map into essential and elementary factors, and the so-called splitting property of simple maps which raise dimension. The aim is to get insight into the structure of those compacta which have the property that simple maps...
Cones and proximally fine spaces
Configurations of points in sets of positive measure and in Baire sets of second category
Confluent and related mappings
Confluent local expansions