CEU Electronic Theses and Dissertations, 2009
| Author | Szentmiklóssy, Zoltán |
|---|---|
| Title | Resolvability of topological spaces |
| Summary | It is well known that there are continuum many disjoint dense subset of the real line. On the other hand, it is easy to see that if, using Zorn’s lemma, we take a maximal 0-dimensional and crowded refinement of the usual topology of the rational numbers then the resulting (countable) space has no two disjoint dense subset. Numerous such questions may be asked about the resolvability of topological spaces into disjoint dense subsets. Such questions were first studied by E. Hewitt, in 1943. In this thesis we answer some natural questions about the resolvability of topological spaces into disjoint dense subsets. |
| Supervisor | Juhász, István |
| Department | Mathematics PhD |
| Full text | https://www.etd.ceu.edu/2009/szentmiklossy_zoltan.pdf |
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