IJPAM: Volume 40, No. 2 (2007)


C.W. Baker
Department of Mathematics
Indiana University Southeast
Grant Line Road, 4201, New Albany, Indiana, 47150-6405, USA
e-mail: cbaker@ius.edu

Abstract.A new form of contra-continuity, called weak contra-continuity, is introduced and used to investigate S-closed spaces and strongly S-closed spaces. It is shown that weak contra-continuity is strictly between contra-continuity and slight continuity. Also the basic properties of weakly contra-continuous functions are developed.

Received: August 10, 2007

AMS Subject Classification: 54C10, 54D10

Key Words and Phrases: contra-continuity, subcontra-continuity, weak contra-continuity, firm contra-continuity, S-closed spaces, strongly S-closed spaces

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 40
Issue: 2