Lasse Rempe-Gillen
Reputation
3,433
Next privilege 5,000 Rep.
Approve tag wiki edits
 2d revised Snake-like continua and universal images Provided definitions and details. 2d comment Snake-like continua and universal images The concepts of span and semispan - which are classical and well established, though admittedly somewhat specialised - can be found in the references provided. I think for an answer, as opposed to a question, that should be sufficient, but I will add some details when I get the chance. Apr 27 revised Snake-like continua and universal images removed incorrect example Apr 27 comment explicit conformal map of sinus-shaped region Explicit conformal maps can almost never be given; why would you expect one here? The answer is highly likely to be "no", but good estimates can be given about the behaviour of the conformal map if required. Apr 27 reviewed Approve Nonzero solutions of an infinite product Apr 27 answered Snake-like continua and universal images Apr 27 revised End points of continua added comment about the Gehman reference. Apr 27 comment End points of continua As mentioned in my answer, the definitions do not coincide even in the case of arc-like (=chainable) continua; consider the $\sin(1/x)$-continuum. Apr 27 answered End points of continua Apr 27 comment Can you write $\mathbb R^2$ as a disjoint union of two totally disconnected sets? It's nice to use Borsuk's theorem. Of course, you can also use Janiczewski's theorem, which is perhaps more elementary (see also my new answer to the question referenced by Kristal). Apr 27 comment Can you write $\mathbb R^2$ as a disjoint union of two totally disconnected sets? But actually, as noted in the question there, the result (any disconnected subset of the plane can be disconnected by a closed connected set) does not require any assumption of closedness / compactness. (See also the answer I just gave there.) So this does in fact answer the question. Apr 27 answered complement of a totally disconnected closed set in the plane Apr 27 reviewed Close Set of General Linear Position with Nonzero Measure Apr 22 comment A transcendence question involving the exponential function Ah, sorry - I missed that somehow. Apr 22 comment A transcendence question involving the exponential function What is the problem with taking $z_n=2\pi n i$ and $p(x,y) = y-1$? Apr 22 reviewed No Action Needed Does weak convergence implies weak convergence of the positive part? Apr 20 reviewed Approve PDE with harmonic function Apr 20 comment Estimates for hyperbolic metrics on nested surfaces @AdamEpstein I agree that it's not at all clear how one would search for this in the literature, as it is most likely to appear somewhere as an auxiliary result (as it does in our paper, and your thesis). So hopefully someone might remember having seen this in the classical literature. Apr 19 reviewed Leave Open Long term behavior of a certain discrete time dynamical system on graphs Apr 19 asked Estimates for hyperbolic metrics on nested surfaces