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Typed topology and its application to data set
Wanjun Hu
The concept of is introduced. In a typed topological space, some open sets are assigned "types", and topological concepts such as closure, connectedness can be d…
Introduction To Typed Topological Space
Wanjun Hu
The concept of typed topological space is introduced, for which open sets in a topology on a finite set will be assigned types (from lattice). The neighborhood system of a point, t…
Exactly -resolvable Topological Expansions
W. W. Comfort, Wanjun Hu
For a cardinal, a space $X=(X,\sT)$ is -{\it resolvable} if admits -many pairwise disjoint $\sT$-dense subsets; $(X,\sT)$ is {\it exactly} -{\it resolvable} if it…
Tychonoff Expansions with Prescribed Resolvability Properties
W. W. Comfort, Wanjun Hu
The recent literature offers examples, specific and hand-crafted, of Tychonoff spaces (in ZFC) which respond negatively to these questions, due respectively to Ceder and Pearson (1…