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Closed images of spaces having g-functions
- Source :
- Topology and its Applications. (9):1980-1992
- Publisher :
- Elsevier B.V.
-
Abstract
- This paper deals with the study of closed images or quasi-perfect images of Nagata spaces, contraconvergent spaces, weak contraconvergent spaces, ks-spaces, γ-spaces and wγ-spaces and, of metrization theorems involving these spaces. We prove that the closed images of contraconvergent (weak contraconvergent) spaces are contraconvergent (weak contraconvergent) and that quasi-perfect images of γ- (wγ-)spaces are γ (wγ).
- Subjects :
- Pure mathematics
Semistratifiable space
Closed set
Topological tensor product
Mathematical analysis
Metrization
Space (mathematics)
Open and closed maps
γ-space
Fréchet space
Computer Science::Computer Vision and Pattern Recognition
Nagata space
Interpolation space
g-function
Birnbaum–Orlicz space
Geometry and Topology
Lp space
Closed map
Mathematics
Contraconvergent space
Subjects
Details
- Language :
- English
- ISSN :
- 01668641
- Issue :
- 9
- Database :
- OpenAIRE
- Journal :
- Topology and its Applications
- Accession number :
- edsair.doi.dedup.....c6353cb21c583f5ba054243533b0a9dd
- Full Text :
- https://doi.org/10.1016/j.topol.2004.01.008