E. Polulyakh

activity

19992003

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2 papers · 1 filter

math.GT2000

On the theorem converse to Jordan's curve theorem

Eugene Polulyakh

Theorem converse to Jordan's curve theorem says that {\it if a compact set $K$ has two complementary domains in $R^{2}$ , from each of which it is at every point accessible, it is a…

math.GT1999

On imbedding of closed 2-dimensional disks into $R^{2}$

Eugene Polulyakh

Let $X$ be a topological space, $U$ -- opened subset of $X$ . We will say that point $x \in \partial U$ is {\it accessible} from $U$ if there exists continuous injective mapping $ϕ:…

On the theorem converse to Jordan's curve theorem

On imbedding of closed 2-dimensional disks into R2

On imbedding of closed 2-dimensional disks into $R^{2}$