Year: 1982
Type: other
Abstract: A remainder of <0 is a space X which is homeomorphic to tf6> * <*> » for soma T 2 compactification -%a> of the countable discrate spaca o> .It is folklore that all separable TA spaces are remainders* Ve show that in a certain nodal of ZFC there is a graph G such that its space of complete subgraphs is a compact ccc space of weight at most continuum which is not a remainder* Furthermore, the graph G yields a supercompact Frechet-Urysohn space with these properties* A Modification yields a compact space of size continuum with only one point of non-first-countability that is also not a remainder.
Author: Murray Bell
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W37704915