Topology Proceedings 30 No. 1 (2006), pp. 389-402

Fractalness of Supercontours

Andrzej Starosolski

Ultrafilters and monotone sequential contours are fractal. [See Szymon Dolecki, Andrzej Starosolski, and Stephen Watson, Extension of multisequences and countable uniradial class of topologies, Comment. Math. Univ. Carolin. 44 (2003), no. 1, 165-181.] It is proved (under CH) that for each supercontour there exists a greater supercontour which is an ultrafilter. The existence (under CH) of 2^ℵ₁ other fractal supercontours is shown.

Keywords: fractal filter, radial topologies, supercontour

Mathematics Subject Classification: 54F65 54C99

Document formats: PDF file 215.5 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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