IJPAM: Volume 34, No. 4 (2007)
MINIMAL STRUCTURES AND
SEPARATIONS PROPERTIES
SEPARATIONS PROPERTIES
Carlos Carpintero
, Ennis Rosas
, Margot Salas
Departamento de Matemáticas
Universidad de Oriente
Apartado 245, Cumaná 6101-A, VENEZUELA
e-mail: ccarpi@sucre.udo.edu.ve
e-mail: erosas@sucre.udo.edu.ve
e-mail: msalas@sucre.udo.edu.ve




Universidad de Oriente
Apartado 245, Cumaná 6101-A, VENEZUELA



Abstract.In this work the notion of -operator for an
-structure
on a set
is introduced.
Also several separation forms for points of a set
are described and characterized,
in a not necessarily topological context. We also study different relationships between
these separation properties, and we establish conditions in regards to the operator which determine
the equivalence between these separation forms.
Received: October 13, 2006
AMS Subject Classification: 54A05, 54A20, 54C08, 54D10
Key Words and Phrases: -structure,
-operator, separation properties
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4