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Results tagged with gn.general-topology
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user 5010
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
3
votes
Connectedness of the complements of the connected subsets
(B) does not hold for topological graphs. Let $X$ be the 1-skeleton of a tetrahedron, and let $S$ be a cycle of 4 edges. Then $X \setminus S$ is not connected.
- 10.1k
10
votes
HOMFLY and homology; also superalgebras
Lots of good answers above, but the one that seems to be missing is what belongs in the third column for unspecialized HOMFLY. (As Geordie Williamson points out, Khovanov and Rozansky wrote two relat …
- 10.1k
20
votes
Accepted
Does this knot invariant distinguish trefoil chiralities?
I'm very curious where this came up. In any case, the answer to the first question is yes, it does distinguish these trefoils; you found the minimal representatives.
Let $a_0,\dots,a_{N-1}$ be the r …
- 10.1k
5
votes
pseudo-Anosov maps on surfaces with boundary
First off, the mapping class group of a surface with boundary is generally taken to mean the group of diffeomorphisms that fix the boundary, up to isotopies fixing the boundary. In this context, a De …
- 10.1k
6
votes
Approximation of topological dynamical systems?
In general, dynamical properties of dynamical systems are often quite unstable. The Mandelbrot set makes one nice parameter: the base equation $z \mapsto z^2 + c$ is varies continuously with respect t …
- 10.1k