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Some weak versions of the M1-spaces
- Source :
- Topology and its Applications. (8):1019-1024
- Publisher :
- Elsevier B.V.
-
Abstract
- We mainly introduce some weak versions of the $M_{1}$-spaces, and study some properties about these spaces. The mainly results are that: (1) If $X$ is a compact scattered space and $i(X)\leq 3$, then $X$ is an $s$-$m_{1}$-space; (2) If $X$ is a strongly monotonically normal space, then $X$ is an $s$-$m_{2}$-space; (3) If $X$ is a $\sigma$-$m_{3}$ space, then $t(X)\leq c(X)$, which extends a result of P.M. Gartside in \cite{CP}. Moreover, some questions are posed in the paper.<br />Comment: 8 pages
- Subjects :
- Pure mathematics
General Topology (math.GN)
s-σ-mi-spaces
54B10, 54C05, 54D30
mi-spaces
Space (mathematics)
Combinatorics
Monotonically normal space
Closure-preserving
FOS: Mathematics
Strongly monotonically normal
Monotonically normal
Geometry and Topology
s-mi-spaces
Mathematics
Mathematics - General Topology
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Issue :
- 8
- Database :
- OpenAIRE
- Journal :
- Topology and its Applications
- Accession number :
- edsair.doi.dedup.....ea82ab2f02409fb4c2dcc1ba049726a3
- Full Text :
- https://doi.org/10.1016/j.topol.2011.02.007