Allen Hatcher

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Name Allen Hatcher
Member for 3 years
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Location Cornell University
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53

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72
Why do finite homotopy groups imply finite homology groups?
47
Definition of “simplicial complex”
44
Learning Topology
32
Colloquial catchy statements encoding serious mathematics
30
Homotopy groups of Lie groups
29
Periods and commas in mathematical writing
29
Survey articles on homotopy groups of spheres
29
Parallelizability of the Milnor’s exotic spheres in dimension 7
28
nontrivial $\pi_2(Diff(M))$
25
Why do wedges of spheres often appear in combinatorics?
22
Are there pairs of highly connected finite CW-complexes with the same homotopy groups?
21
Detecting homotopy nontriviality of an element in a torsion homotopy group
21
Fibers of fibrations of a 3-manifold over $S^1$
21
Spectral sequences: opening the black box slowly with an example
18
Fundamental group of the line with the double origin.
16
An elementary proof that the degree of a map of spheres determines its homotopy type
16
Why do the homology groups capture holes in a space better than the homotopy groups?
16
The Wedge Sum of path connected topological spaces
16
What characteristic class information comes from the 2-torsion of $H^*(BSO(n);Z)$?
15
Killing the torsion in homotopy
14
Intuition behind Thom class
14
Is the space of diffeomorphisms homotopy equivalent to a CW-complex?
13
Periodic mapping classes of the genus two orientable surface
13
Can H-space multiplication always be straightened so that mult.-by-id. is the identity on the nose?
12
Homotopy type of set of self homotopy-equivalences of a surface
12
Two solid N_3 glued by its boundary
11
Is geometric realization of the total singular complex of a space homotopy equivalent to the space?
11
Deeper meanings of barycentric subdivision
11
About the proof of Wajnryb’s finite presentation of Mod(S)
11
How to prove the isotopy relative to a point exist?
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