Electronic Version 19 (1994), 37-61
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Electronic Version 19 (1994), 37-61 | |
P.A. Cairns
Provoked by Arhangel'skii's notion of absolute dimension, we define the new concept of cohesion and examine its properties. In particular, it is shown that cohesion is closely related to scattered length and cohesion is completely characterised in scattered spaces. However, examples are produced which are not scattered and have cohesion defined. As an appendix, it is shown that absolute dimension does not agree with classical dimension functions on the unit square.
volume 19: table of contents
topology proceedings
Electronic Version