Last-modified: 2010-12-26 (日) 12:18:49
A topological space is said to be C-compact (abbreviated as CC) if every closed set is an H-set.
For subspaces of topological spaces, C-compactness is the same as C_ω-compactness. Here ω denotes countable cardinality.
A topological space is called c-compact if for every topological space Y and every subset , , where is the second projection .
- Definition 1
- G. Viglino, C-compact spaces. Duke Math. J., 36, 761-764 (1969).
- R.F. Dickman, Jr. and J.R. Porter, Between minimal Hausdorff and compact Hausdorff spaces, Topology Proc. Vol.9 (1984), p.243-268.
- Definition 2
- Manuel Sanchis, Angel Tamariz-Mascarua, p-pseudocompactness and related topics in topological spaces, Topology and its Applications 98 (1999) 323-343.
- Definition 3
- C. M. Neira, The Kuratowski-Mrowka characterization and weak forms of compactness, Revista Colombiana de Matematicas Volumen 43(2009)1, paginas 9-17