On compact spaces which are unions of certain collections of subspaces of special type
On compact-covering and sequence-covering images of metric spaces
On compactification of absolute retracts
On compactifications with continua as remainders
On Compactifying a Topological Space by Adding a Finite Number of Points
On compactifying semigroups.
On compactness in uniform spaces
On compactness of lattices.
On compactness with respect to semi-open sets
On completely regular spaces
On completions of proximity and uniform spaces
On concentrated sets
On connectedness of proximity spaces
On connectivity properties of bitopological hyperspaces
On connectivity properties of hyperspaces of spaces
On continuous extensions.
On continuous images of almost Tychonoff cubes
On continuous images of Eberlein compacts
On continuous self-maps and homeomorphisms of the Golomb space
The Golomb space is the set of positive integers endowed with the topology generated by the base consisting of arithmetic progressions with coprime . We prove that the Golomb space has continuum many continuous self-maps, contains a countable disjoint family of infinite closed connected subsets, the set of prime numbers is a dense metrizable subspace of , and each homeomorphism of has the following properties: , , , and for all . Here and denotes the set of prime divisors...
On convergence spaces and groups