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...

Full description

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
Description
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.