On preservation of normality
The theory of normal spaces is treated in this paper. In section 1 we define a new type of mappings called paranormal, and we prove that a continuous mapping onto a normal space is paranormal if and only if its domain is normal. The section ends with the study of relativized notions of normality and...
- Autores:
-
Hdeib, H. Z.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1981
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42632
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42632
http://bdigital.unal.edu.co/32729/
- Palabra clave:
- Theory of normal spaces
paranormal
normalitv of the products
definition and theorems
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | The theory of normal spaces is treated in this paper. In section 1 we define a new type of mappings called paranormal, and we prove that a continuous mapping onto a normal space is paranormal if and only if its domain is normal. The section ends with the study of relativized notions of normality and paracompactness. In section 2 we study the normalitv of the products. Finally, section 3 contains the discussion of counterexamples relevant to the definition and theorems in the previous sections. |
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