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Results tagged with gn.general-topology
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user 159031
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
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Let $S$ be a surface, $K$ compact in $S$ with finitely many components. Does the frontier of...
Let $S$ be a connected surface and $K$ a compact subset of $S$ with finitely many connected components. Let $U$ be a connected component of $S-K$. Does the frontier of $U$ in $S$ have finitely many co …
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The Schoenflies Theorem on two dimensional surfaces
Let $S$ be a surface and $U$ an open connected subset of $S$. If the frontier of $U$ in $S$ is a two sided circle $C$, then the closure of $U$ in $S$ is a surface whose boundary is $C$. I would like t …
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Is it possible to prove that surfaces with compact boundary are homeomorphic by glueing disk...
Let $S_1$ and $S_2$ be two surfaces with compact boundary and the same number of boundary components. Let $M_1$ and $M_2$ be the surfaces obtained by glueing closed disks to the boundary of $S_1$ and …
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Can the infinite jungle gym surface be expressed by an exhaustion of compact surfaces with o...
Is it possible to write the infinite jungle gym surface as the increasing union of compact surfaces whose boundaries consist of only one simple closed curve? I believe that this is true. This surface …
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Let K be a compact set in a surface, U component of S-K, K'=S-U. K has finitely many compone... [closed]
Let $S$ be a compact connected surface. Let $K$ be a compact subset of $S$ and suppose that $K$ has a finite number of connected components.
Let $U$ be a connected component of $S \setminus K$ and con …