Monotone countable paracompactness

Expandability and s-expandability

“…From Lemma 2.13, it is easily seen that Theorem 2.8 generalizes the result [5, Theorem 18] and gives a positive answer to a question of[6]. Corollaries 2.9, 2.12 and 2.14 extend the result [5, Corollary 19] and Corollary 2.14 answers directly a question in[5].S.…”

“…Hodel [7] proved that every T 1 wN-space is also almost expandable. In [6], the authors further asked whether a wN-space is expandable. Chris Good, Daniel Jennings and Abdul M. Mohamad [5] introduced the notion of symmetric gfunction and showed that every sym-wg space is wN.…”

Insertion of semi-continuous functions and sequences of sets

“…There is a space which is MCM but not MCP. For example, the Moore plane over R (see [5,Example 4]). We will show that for this space (c) of Theorem 3.1 holds.…”

“…Good et al[5, Theorem 25] gave a characterization of monotonically countably paracompact (MCP) sets as follows:Theorem 3.1. The following are equivalent for a space X: (a) X is MCP.…”

Monotone meta-Lindelöf spaces

“…Monotone topological properties play an important role in the research of general topology (see [3]- [5], [7], [9] and [14]). In [3], the authors studied monotone Lindelöf spaces.…”