ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




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 Gd -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; Gd-sequential; [n, m]-compact.  

AMS Subject classification: Primary:  54B10, 54D20, 54D30, 54D55 


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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

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