5 papers
Reconstructing Compact Metrizable Spaces
Paul Gartside, Max F. Pitz, Rolf Suabedissen
The deck, , of a topological space is the set , where denotes the homeomorphism class of . A spac…
Reconstructing Topological Graphs and Continua
Paul Gartside, Max F. Pitz, Rolf Suabedissen
The deck of a topological space is the set , where denotes the homeomorphism class of . A space is topologic…
A Topological Variation of the Reconstruction Conjecture
Max F. Pitz, Rolf Suabedissen
This paper investigates topological reconstruction, related to the reconstruction conjecture in graph theory. We ask whether the homeomorphism types of subspaces of a space whi…
Finite compactifications of
Max. F. Pitz, Rolf Suabedissen
We prove that under [CH], finite compactifications of are homeomorphic to . Moreover, in each case, the remainder consists almost exclusively of -poin…
The Stone-Cech compactifications of and
Max F. Pitz, Rolf Suabedissen
The space is the Stone space of the -saturated Boolean algebra of cardinality . It exists provided that , and is characterised topologically as the unique $κ…