Topology Proceedings Document # baam-50

topology proceedings
Topology Proceedings 28 No. 2 (2004), pp. 673-687
logo

Dyadic subbases and efficiency properties of the induced {0, 1, ^}w-representations

Hideki Tsuiki

A dyadic subbase induces a representation of a second-countable regular space as a subspace of the space of infinite sequences of {0, 1, ^}, which is known as Plotkin's Tw. We study four properties of dyadic subbases-full-representing, canonically representing, independent, and minimal-which express efficiency properties of the induced representations.

Keywords: Plotkin's Tw, Gray code, Tent function, Dyadic subbase, Independent subbase, Minimal subbase, Canonically representing subbase

Mathematics Subject Classification: 54H99 (68R99)

Document formats
AtlasImage format
PostScript file 359.7 Kb
PDF file 144.0 Kb

Topology Proceedings, Volume 28, No. 2 (2004)
Subscription information

Copyright © 2004 Auburn University, Nipissing University and Topology Atlas