Spaces with Noncoinciding Dimensions

M. G. Charalambous
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M. G. Charalambous: University of Nairobi, Department of Mathematics

A chapter in The Mathematical Legacy of Eduard Čech, 1993, pp 204-212 from Springer

Abstract: Abstract For any given nonnegative integers l. m. n with max{l, m} ≤ n and n = 0 if m — 0, we construct a normal. Hausdorff and separable space X with ind .X = l. dim X = m and Ind X = n. We also construct a space X n with dim X n = 1 and ind X n = Ind X n — n which is the limit space of an inverse limit sequence of compact, Hausdorff and separable spaces all of whose dimensions are one.

Keywords: Open Neighbourhood; Hausdorff Space; Dimension Theory; Soviet Math; Compact Hausdorff Space (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7524-0_19

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DOI: 10.1007/978-3-0348-7524-0_19

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