Almost-homeomorphisms and aumosttopological properties
A function is said to be an almosthomeomorphism if it is a bijective almost continuous function (see [25]) with an almost continuous inverse. We characterize such functions in several ways and obtain the relationship between almost-homeomorphisms and semi-homeomorphisms (see [8]). We study those pro...
- Autores:
-
Cammaroto, Filippo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1986
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/48841
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/48841
http://bdigital.unal.edu.co/42298/
- Palabra clave:
- function
almosthomeomorphism
bijective function
semi-homeomorphisms
class of functions
topological properties
topological classes
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | A function is said to be an almosthomeomorphism if it is a bijective almost continuous function (see [25]) with an almost continuous inverse. We characterize such functions in several ways and obtain the relationship between almost-homeomorphisms and semi-homeomorphisms (see [8]). We study those properties which are preserved under this class of functions -the almost topological properties - and characterize them as the semi-regular properties (see [3]). We also introduce the concept of an almost topological class and study the relationship between this clases and the topological, semi-topological, and p-topological classes. |
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