The space of complete subgraphs of a graph
Murray G. Bell · Czech digital mathematics library · 1982
A remainder of * » 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.