On total paracompactness and total metacompactness
On totally bounded games
On totally non-commutative convergence groupoids
On transfinite convergence and generalized continuity
On transfinite dimension
On transfinite inductive compactness degree
On transfinite sequences of mappings
On (transfinite) small inductive dimension of products
In this paper we study the behavior of the (transfinite) small inductive dimension on finite products of topological spaces. In particular we essentially improve Toulmin’s estimation [T] of for Cartesian products.
On transformation semigroups which are -semigroups.
On transformations of sets in
On translation invariant families of sets
On treelike neighbourhood spaces
On treelike proximity spaces
On trivially semi-metrizable and D-completely regular mappings
Trivially symmetrizable, trivially semi-metrizable and trivially D-completely regular mappings are defined. They are characterized as mappings parallel to symmetrizable, semi-metrizable and D-completely regular spaces correspondently. One shows that trivially D-completely regular mappings, i.e. submappings of fibrewise products of developable mappings coincide (up to homeomorphisms) with submappings of fibrewise products of semi-metrizable mappings.
On two classes of paracompact spaces
On two open problems of contractive mappings.
On two problems of W. W. Comfort
On two properties of P-spaces
On two questions of the theory of retracts.
On two recurrence problems
We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.