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Top Questions
86
votes
Teaching homology via everyday examples
at.algebraic-topology
big-list
teaching
homology
asked Jan 1, 2014 at 12:50
mathoverflow.net
53
votes
Typesetting the "define equals" symbol
math-mode
symbols
relation-symbols
asked Sep 18, 2011 at 19:33
tex.stackexchange.com
43
votes
Applications of knot theory
teaching
knot-theory
gt.geometric-topology
asked Dec 3, 2010 at 22:23
mathoverflow.net
38
votes
Do finite groups acting on a ball have a fixed point?
gt.geometric-topology
finite-groups
fixed-point-theorems
asked Oct 18, 2011 at 22:46
mathoverflow.net
26
votes
Teaching the fundamental group via everyday examples
at.algebraic-topology
teaching
fundamental-group
covering-spaces
asked Oct 21, 2014 at 20:19
mathoverflow.net
15
votes
Teaching cohomology via everyday examples
at.algebraic-topology
cohomology
teaching
asked May 10, 2019 at 6:55
mathoverflow.net
13
votes
Closed hyperbolic manifold with right-angled fundamental domain
gt.geometric-topology
hyperbolic-geometry
asked Mar 10, 2010 at 20:18
mathoverflow.net
12
votes
Early illustrations of topological notions in published work
reference-request
gn.general-topology
asked Aug 14, 2023 at 11:58
mathoverflow.net
11
votes
Explicit triples of isomorphic Riemann surfaces
cv.complex-variables
algebraic-curves
hyperbolic-geometry
riemann-surfaces
conformal-maps
asked May 3, 2022 at 10:26
mathoverflow.net
10
votes
If the universal cover has three boundary components, does it have infinitely many?
gt.geometric-topology
3-manifolds
asked Oct 12, 2023 at 16:26
mathoverflow.net
1
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Top Answers
141
Magic trick based on deep mathematics
mathoverflow.net
58
Why can you turn clothing right-side-out?
math.stackexchange.com
51
Examples of common false beliefs in mathematics
mathoverflow.net
47
Why does the Mandelbrot set contain (slightly deformed) copies of itself?
math.stackexchange.com
42
What would you want to see at the Museum of Mathematics?
mathoverflow.net
39
What part is left unsolved in the Unknotting problem? (after results of Bar-Natan, Khovanov, Kronheimer and Mrowka)
mathoverflow.net
31
Magic trick based on deep mathematics
mathoverflow.net
30
Drawing of the eight Thurston geometries?
mathoverflow.net
21
Why is the fundamental group of a compact Riemann surface not free ?
mathoverflow.net
21
Collapsible group words
mathoverflow.net
21
What group is $\langle a,b \,| \, a^2=b^2 \rangle$?
mathoverflow.net
21
Obtain any 3-manifold from repeating surgeries on knots in $S^3$
mathoverflow.net
20
Teichmuller Theory introduction
mathoverflow.net
19
3-manifold with fundamental group $\mathbb Z$
mathoverflow.net
18
Rediscovery of lost mathematics
mathoverflow.net
17
Classification of homology 3-spheres?
mathoverflow.net
17
How many digits of $\sqrt{2}$ are known to date?
mathoverflow.net
17
Mandelbrot fractal: How is it possible?
math.stackexchange.com
17
Self-covering spaces
mathoverflow.net
16
In knot theory: Benefits of working in $S^3$ instead of $\mathbb{R}^3$?
mathoverflow.net
16
How would a topologist explain "every Riemann surface of genus $g$ is hyperelliptic if and only if $g=2$"?
mathoverflow.net
16
Fixed-point free diffeomorphisms of surfaces fixing no homology classes
mathoverflow.net
16
Examples of locally hyperbolic groups
mathoverflow.net
16
Topology of the space of embedded genus $g$ surfaces in $S^3$
mathoverflow.net
15
Problems known to be in both NP and coNP, but not known to be in P
mathoverflow.net
15
Computational complexity theoretic incompleteness: is that a thing?
mathoverflow.net
15
Is there a contractible hyperbolic 3-orbifold of finite volume?
mathoverflow.net
14
Books you would like to see translated into English
mathoverflow.net
14
Definition of Thurston's skinning map
mathoverflow.net
14
Is this a sleight of hand or a video edit?
mathoverflow.net
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