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On cardinal sequences of scattered spaces

✍ Scribed by Juan Carlos Martínez

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
741 KB
Volume
90
Category
Article
ISSN
0166-8641

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✦ Synopsis

It was proved by Dow and Simon that there are 2"' (as many as possible) pairwise nonhomeomorphic compact, T2, scattered spaces of height WI and width w. In this paper, we prove that if cy is an ordinal with WI < 01 < w2 and 19 = (KC: [ < cx) is a sequence of cardinals such that either KC = w or KC = WI for every [ < cr, then there are 2"' pairwise nonhomeomorphic compact, T2, scattered spaces whose cardinal sequence is 6'.

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