p. 113 - 117 Results on dimension theory and some generalizations of compact spaces H. Z. Hdeib and K. Y. Al-Zoubi Received: June 3, 2012; Revised: September 5, 2012; Accepted: September 17, 2012 Abstract. In this paper we introduce Gδ -sequential spaces as a generalization of sequential spaces, and obtain some product theorems for [n, m]-compact spaces and for spaces with large inductive dimension < n. Keywords: Small (large) inductive dimension; covering dimension; ultraparacompact; Gδ-sequential; [n, m]-compact. AMS Subject classification: Primary: 54B10, 54D20, 54D30, 54D55 PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2013, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |