Solid convergence spaces
Open Access
- 1 February 1973
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 8 (3) , 443-459
- https://doi.org/10.1017/s0004972700042738
Abstract
The category of solid convergence spaces is introduced, and shown to lie strictly between the category of all convergence spaces and that of pseudo-topological spaces. A wide class of convergence spaces, including the c-embedded spaces of Binz, is then characterized in terms of this concept. Finally, several illustrative examples are given.Keywords
This publication has 5 references indexed in Scilit:
- Kompakte Limesräume und limitierte FunktionenalgebrenCommentarii Mathematici Helvetici, 1968
- Bemerkungen zu limitierten FunktionenalgebrenMathematische Annalen, 1967
- Funktionenräume in der Kategorie der LimesräumeAnnales Academiae Scientiarum Fennicae. Series A. I. Mathematica, 1966
- Limesr umeMathematische Annalen, 1959
- On Two Problems of UrysohnAnnals of Mathematics, 1946