Nonlocal controllability for the semilinear fuzzy integrodifferential equations in -dimensional fuzzy vector space.
Non-meager P-filters are countable dense homogeneous
We prove that if ℱ is a non-meager P-filter, then both ℱ and are countable dense homogeneous spaces.
Nonnormality of remainders of some topological groups
It is known that every remainder of a topological group is Lindelöf or pseudocompact. Motivated by this result, we study in this paper when a topological group has a normal remainder. In a previous paper we showed that under mild conditions on , the Continuum Hypothesis implies that if the Čech-Stone remainder of is normal, then it is Lindelöf. Here we continue this line of investigation, mainly for the case of precompact groups. We show that no pseudocompact group, whose weight is uncountable...
Non-provability of Souslin's hypothesis
Non-regularity of some topologies on stronger than the standard one.
Nonseparable Radon measures and small compact spaces
We investigate the problem if every compact space K carrying a Radon measure of Maharam type κ can be continuously mapped onto the Tikhonov cube (κ being an uncountable cardinal). We show that for κ ≥ cf(κ) ≥ κ this holds if and only if κ is a precaliber of measure algebras. Assuming that there is a family of null sets in such that every perfect set meets one of them, we construct a compact space showing that the answer to the above problem is “no” for κ = ω. We also give alternative proofs...
Nonsupercompactness and the reduced measure algebra
Non-trivial homeomorphisms of βNNwithout the continuum hypothesis
Norm and pointwise topologies need not be binormal.
Normal k'-spaces are consistently collectionwise normal
Normal neighborhood spaces
Normal spaces and the Lusin-Menchoff property
We study the relation between the Lusin-Menchoff property and the -“semiseparation” property of a fine topology in normal spaces. Three examples of normal topological spaces having the -“semiseparation” property without the Lusin-Menchoff property are given. A positive result is obtained in the countable compact space.
Normal structure and fixed points of nonexpansive maps in general topological spaces.
Normality and Martin's axiom
Note on connections of the point of continuity property and Kuratowski problem on function having the Baire property
Note on decompositions of metrizable spaces II
Note on Demi-Topological Functors.
Note on initial topologies on rational vector spaces induced by revalued linear mappings.
Notes on Fréchet spaces.
Notes on Kuratowski-Mrówka theorems in point-free context