All Questions
4
questions
11
votes
1
answer
467
views
Do solenoids embed into Möbius strips?
I found a strange attractor which looks a lot like a solenoid. The attractor continuum is the closure of a continuous line which limits onto itself, and it is locally homeomorphic to Cantor set times ...
- 945
2
votes
1
answer
356
views
Applications of topology to discrete dynamical systems?
I'd like to know some of the applications of topology to discrete dynamics. By discrete dynamics I loosely mean studying maps between discrete sets.
I mean cases where adding a topology to the sets ...
- 803
6
votes
0
answers
388
views
Fundamental group of non-Hausdorff surfaces & actions of discrete Heisenberg group
Let $G$ be a discrete group, acting on a space $X$ (by homeomorphisms). I will say that the action is properly discontinuous if for any $x, y \in X$, there are neighborhoods $U_x$ and $U_y$ such that ...
- 616
8
votes
1
answer
755
views
What information can one recover from the induced map on homology?
The following question came up while constructing delay embeddings of time series data.
Consider an unknown topological space $X$ and an unknown continuous function $f:X \to X$. We are given a ...
- 15.3k