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3-manifolds
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Algebraic topology
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3-manifolds front page
A
Algebraic topology front page
Approximating continuous structures by discrete structures
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Geometric topology
Geometry and topology front page
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Homological algebra front page
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If you are looking for a disk, try to find a grope first
If your topological invariant takes integer values, they may well be homology classes in disguise
R
Recognize that the same object fits a pattern in two different ways
T
To simplify a closed subset of the plane, approximate it using a grid of squares
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Littlewood-Paley heuristic for derivative
Geometric view of Hölder's inequality
Diagonal arguments
Finding an interval for rational numbers with a high denominator
Try to prove a stronger result
Use self-similarity to get a limit from an inferior or superior limit.
Prove a consequence first
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