Quasi- and weakly-quasi-first-countable spaces
✍ Scribed by Renée Sirois-Dumais
- Book ID
- 107911619
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 867 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We show that it is consistent with the Continuum Hypothesis that first countable, countably compact spaces with no uncountable free sequences are compact. As a consequence, we get that CH does not imply the existence of a perfectly normal, countably compact, non-compact space, answering a question o
Following the pattern of the theory of modules over rings BERTHMUME [l] introduced as a generalization the concepts of injective and weakly injective S-systems and proved the existence of such S-systems. There are two more weaker forms hf injectivity called quasi-injectivitg [2] and divisibility. I
We describe Top °p and ~qob °p as quasi-varieties by means of suitable "schizophrenic" objects.