A note on compact metric spaces as remainders.
A note on compactifications of products of semigroups.
A Note on Completion and Compactification.
A note on connectedness in Cartesian closed categories.
A note on countable connected locally connected Urysohn almost regular spaces
A note on countable dense homogeneity
A note on cyclic subelement theory-reducibility of local connectedness and local simple connectedness
A note on dense subspaces of dyadic compact spaces
A note on diagonal and matrix properties of convergence spaces
A note on D-spaces
Every semi-stratifiable space or strong -space has a -cushioned (mod)-network. In this paper it is showed that every space with a -cushioned (mod)-network is a D-space, which is a common generalization of some results about D-spaces.
A note on E-compact spaces
A note on Fréchet spaces
A note on -metrizable spaces
In this paper, the relationships between metric spaces and -metrizable spaces are established in terms of certain quotient mappings, which is an answer to Alexandroff’s problems.
A note on hyperconnected sets
A note on k-c-semistratifiable spaces and strong -spaces
Recall that a space is a c-semistratifiable (CSS) space, if the compact sets of are -sets in a uniform way. In this note, we introduce another class of spaces, denoting it by k-c-semistratifiable (k-CSS), which generalizes the concept of c-semistratifiable. We discuss some properties of k-c-semistratifiable spaces. We prove that a -space is a k-c-semistratifiable space if and only if has a function which satisfies the following conditions: (1) For each , and for each . (2) If a...
A Note On Locally Almost Paracompact Spaces
A note on mappings of Baire spaces
A note on maximally resolvable spaces.
A note on metrics and tolerances
A note on monotone countable paracompactness
We show that a space is MCP (monotone countable paracompact) if and only if it has property , introduced by Teng, Xia and Lin. The relationship between MCP and stratifiability is highlighted by a similar characterization of stratifiability. Using this result, we prove that MCP is preserved by both countably biquotient closed and peripherally countably compact closed mappings, from which it follows that both strongly Fréchet spaces and q-space closed images of MCP spaces are MCP. Some results on...