A note on Ascol's theorem for spaces of multifunctions.
A note on asymptotic contractions.
A note on Baire isomorphism
A note on bi-contra-continuous maps.
A note on cardinal invariants of square
A note on characterizations of compactness.
A note on coclones of topological spaces
The clone of a topological space is known to have a strictly more expressive first-order language than that of the monoid of continuous self-maps. The current paper studies coclones of topological spaces (i.e. clones in the category dual to that of topological spaces and continuous maps) and proves that, in contrast to clones, the first-order properties of coclones cannot express anything more than those of the monoid, except for the case of discrete and indiscrete spaces.
A note on cocycles in ergodic theory
A note on collectionwise normality and product spaces
A note on compact groups, acting on R-trees
A note on compact metric spaces as remainders.
A note on compactifications of products of semigroups.
A note on complementarity problem.
A Note on Completion and Compactification.
A note on condensations of onto compacta
A condensation is a one-to-one continuous mapping onto. It is shown that the space of real-valued continuous functions on in the topology of pointwise convergence very often cannot be condensed onto a compact Hausdorff space. In particular, this is so for any non-metrizable Eberlein compactum (Theorem 19). However, there exists a non-metrizable compactum such that condenses onto a metrizable compactum (Theorem 10). Several curious open problems are formulated.
A note on connectedness in Cartesian closed categories.
A note on connectedness in intuitionistic fuzzy special topological spaces.
A note on continuous linear mappings between function spaces
A note on countable connected locally connected Urysohn almost regular spaces
A note on countable dense homogeneity