IJPAM: Volume 34, No. 4 (2007)

MINIMAL STRUCTURES AND
SEPARATIONS PROPERTIES

Carlos Carpintero$^1$, Ennis Rosas$^2$, Margot Salas$^3$
$^{1,2,3}$Departamento de Matemáticas
Universidad de Oriente
Apartado 245, Cumaná 6101-A, VENEZUELA
$^1$e-mail: ccarpi@sucre.udo.edu.ve
$^2$e-mail: erosas@sucre.udo.edu.ve
$^3$e-mail: msalas@sucre.udo.edu.ve


Abstract.In this work the notion of $m$-operator for an $m$-structure $m_X$ on a set $X$ is introduced. Also several separation forms for points of a set $X$ 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: $m$-structure, $m$-operator, separation properties

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4