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Mike F's user avatar
Mike F's user avatar
Mike F
  • Member for 13 years, 5 months
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Here to learn a few things and let the mind wander.

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75
What's your favorite proof accessible to a general audience?
Jan 19, 2015
59
What is the total sum of the cardinalities of all subsets of a set?
Nov 5, 2016
59
Collection of surprising identities and equations.
Jan 2, 2015
47
Are continuous self-bijections of connected spaces homeomorphisms?
Feb 8, 2011
43
Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)
May 5, 2015
42
If a continuous function is positive on the rationals, is it positive almost everywhere?
Sep 17, 2011
34
Why is the inclusion of the tensor product of the duals into the dual of the tensor product not an isomorphism?
Apr 5, 2011
33
Topology: Example of a compact set but its closure not compact
Nov 2, 2013
32
What is the total sum of the cardinalities of all subsets of a set?
Nov 6, 2016
31
Are there uncountably many non homeomorphic ways to topologize a countably infinite set?
Apr 24, 2011
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17
Cannot start a bounty on old problem?
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11
Does the generator of a 1-parameter group of Banach space isometries know which elements are entire?
8
Wanted: chain of nowhere dense subsets of the real line whose union is nonmeagre, or even contains intervals
7
Does the suspension isomorphism $K_1(A) \to K_0(SA)$ descend from a more refined invariant?
7
Dense ideals in C*-algebras and K-theory
6
C*-Algebras: Dynamics vs. Derivations