Abstract.A new form of contra-precontinuity, which we call weak almost contra-precontinuity, is introduced. We show that this class of functions is weaker than most forms of precontinuity and contra-precontinuity, but that the class still has interesting properties. Conditions are established under which the weakly almost contra-precontinuous image of a space is nearly compact. Finally, properties related to the graphs of these functions and other basic properties of weakly almost contra-precontinuous functions are investigated.

Received: August 8, 2009

AMS Subject Classification: 54C10, 54D10

Key Words and Phrases: precontinuity, contra-precontinuity, weak contra-precontinuity, almost contra-precontinuity, weak almost contra-precontinuity

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 1