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Results tagged with surfaces
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user 497904
A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.
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votes
Maximal contractible-ish Hausdorff surfaces
$\omega$-bounded surfaces are well studied (see for instance Bagpipe theorem and the reference), and an $\omega$-bounded surface $X$ can be written as an increasing union of separable open subsets $\bigcup … There are many non-homeomorphic $\omega$-bounded surfaces $X$ that can be written as $\bigcup_{\alpha<\omega_1}X_\alpha$ where each $X_\alpha\simeq\mathbb{R}^2$; they are essentially the "long pipes" in …
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