International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 65-68, Pages 3717-3735
doi:10.1155/S0161171204404050
T(α,β)-spaces and the Wallman compactification
Karim Belaid1
, Othman Echi2
and Sami Lazaar3
1Département de Mathématiques, Ecole Supérieure des Sciences et Techniques de Tunis, 5 Avenue Taha Hussein, BP 56 Bab Manara, Tunis 1008, Tunisia
2Department of Mathematics, Faculty of Sciences of Tunis, University of Tunis El Manar, Tunis 2092, Tunisia
3Département de Mathématiques, Institut Préparatoire aux Etudes d'Ingénieurs de Nabeul, Université du 7 Novembre à Carthage, Nabeul 8000, Tunisia
Abstract
Some new separation axioms are introduced and studied. We also deal with maps having an extension to a homeomorphism between the Wallman compactifications of their domains and ranges.