Representing trees as relatively compact subsets of the first Baire class
Selection principles and upper semicontinuous functions
In connection with a conjecture of Scheepers, Bukovský introduced properties wQN* and SSP* and asked whether wQN* implies SSP*. We prove it in this paper. We also give characterizations of properties S₁(Γ,Ω) and in terms of upper semicontinuous functions
Set-set topologies and semitopological groups.
Shape morphisms and spaces of approximative maps
Sheaves and -bicompactifications of mappings.
Skeletal maps and I-favorable spaces
Skorohod's spaces
Smooth structures on
Sober spaces and continuations.
Some constructive topological properties of function spaces
Some finitely generated subsemigroups of S(X)
Some generalizations of the notion of continuity and quasi-uniform convergence
Some problems and lines of investigation in general topology
Some problems on Suslin spaces and topological algebras
Some properties of
Some properties of g- and P-spaces
A γ-space with a strictly positive measure is separable. An example of a non-separable γ−space with c.c.c. is given. A P−space with c.c.c. is countable and discrete.
Some properties of multiplication in the algebra related to the dimension of
Some properties of the functor .
Some remarks providing discontinuous maps on some spaces
Let X be a completely regular Hausdorff topological space and the space of continuous real-valued maps on X endowed with the pointwise topology. A simple and natural argument is presented to show how to construct on the space , if X contains a homeomorphic copy of the closed interval [0,1], real-valued maps which are everywhere discontinuous but continuous on all compact subsets of .
Spaces not distinguishing convergences
In the present paper we introduce a convergence condition and continue the study of “not distinguish” for various kinds of convergence of sequences of real functions on a topological space started in [2] and [3]. We compute cardinal invariants associated with introduced properties of spaces.