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Department of Mathematics, University of Yarmouk, Irbid, Jordan

ABSTRACT

In this paper, section 2 is devoted to study the relationship between [n,m]-proper mappings, [n,m]-compact mappings and strong [n,m]-mappings. Also we show that a proper local homeomorphism is a finite covering. In section 3, we introduce weakly sequential spaces as a generalisation of sequential spaces and we obtain some results concerning countably compact spaces. Then we generalise a result of Long (1969).