Compact topologically torsion elements of topological abelian groups
Compact unions of closed subsets are closed and compact intersections of open subsets are open
Compact widths in metric trees
The definition of n-width of a bounded subset A in a normed linear space X is based on the existence of n-dimensional subspaces. Although the concept of an n-dimensional subspace is not available for metric trees, in this paper, using the properties of convex and compact subsets, we present a notion of n-widths for a metric tree, called Tn-widths. Later we discuss properties of Tn-widths, and show that the compact width is attained. A relationship between the compact widths and Tn-widths is also...
Compacta are maximally -resolvable
It is well-known that compacta (i.e. compact Hausdorff spaces) are maximally resolvable, that is every compactum contains many pairwise disjoint dense subsets, where denotes the minimum size of a non-empty open set in . The aim of this note is to prove the following analogous result: Every compactum contains many pairwise disjoint -dense subsets, where denotes the minimum size of a non-empty set in .
Compacta weak shape equivalent to ANR's
Compacta which are quasi-homeomorphic with a disk
Compacta with the shape finite complexes
Compact-calibres of regular and monotonically normal spaces.
Compact-covering numbers
Compactification and compactoidification
Compactification and linearization of abstract dynamical systems
Compactification and the continuum hypothesis
Compactification of pointed 1-movable spaces
Compactification of Products
Compactification of the domains of certain rings of functions
Compactification-like extensions [Book]
Compactifications and -separation
Compactifications and uniformities on sigma frames
A bijective correspondence between strong inclusions and compactifications in the setting of -frames is presented. The category of uniform -frames is defined and a description of the Samuel compactification is given. It is shown that the Samuel compactification of a uniform frame is completely determined by the -frame consisting of its uniform cozero part, and consequently, any compactification of any frame is so determined.
Compactifications by adding a countable number of points
Compactifications, and ring epimorphisms.