- The
Hauptvermutung of
geometric topology is a now re****ed
conjecture asking whether any two
triangulations of a
triangulable space have
subdivisions that...
- Press, p. 110, ISBN 0-521-79160--X A.A.Ranicki, "One the
Hauptvermutung" (PDF), The
Hauptvermutung Book John
Milnor (1961), "Two
Complexes Which are Homeomorphic...
-
since then
gained wider acceptance,
although doubts still remain. The
Hauptvermutung (German for main conjecture) of
geometric topology is the conjecture...
- that
continues to
mature to this day. In 1961
Milnor disproved the
Hauptvermutung by
illustrating two
simplicial complexes that are
homeomorphic but combinatorially...
-
Among other discoveries, he
contributed to the
disproof of the
manifold Hauptvermutung,
introduced the C****on invariant, a
modern invariant for 3-manifolds...
-
American Alma mater
Harvard University (BA 2001; PhD 2004) Known for
Hauptvermutung Seiberg–Witten
Floer theory Awards E. H.
Moore Prize (2019) EMS Prize...
-
February 1964(1964-02-17) (aged 83) Munich, West
Germany Known for Tietze's
graph Tietze extension theorem Tietze transformations Hauptvermutung Lens space...
- of
powers conjecture Ganea conjecture Generalized Smith conjecture Hauptvermutung Hedetniemi's conjecture,
counterexample announced 2019
Hirsch conjecture...
- Dehn
twist Nielsen–Thurston
classification Moise's
Theorem (see also
Hauptvermutung) Poincaré
conjecture Thurston elliptization conjecture Thurston's geometrization...
-
William Scott (1962b), "Arithmetic on
curves of
genus 1. IV.
Proof of the
Hauptvermutung",
Journal für die
reine und
angewandte Mathematik, 211 (211): 95–112...
