It was originally formulated as a conjecture in 1908 by Ernst Steinitz and Heinrich Franz Friedrich Tietze, but it is now known to be false.
Hauptvermutung is short for die Hauptvermutung der kombinator- ischen Topologie, which is German for the main conjecture of combinatorial topology.
Hauptvermutung
The Hauptvermutung of geometric topology is a now refuted conjecture asking whether any two triangulations of a triangulable space have subdivisions that are combinatorially equivalent, i.e. the subdivided triangulations are built up in the same... Wikipedia
Dec 9, 2014 · The Hauptvermutung is the statement that any two PL structures on a topological space have a common refinement. It is false in general, but (I ...
People also ask
What is the Hauptvermutung conjecture?
The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent. The conjecture was formulated at the turn.
$318.40
The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn ...
From German Hauptvermutung, from haupt- (“main, chief, primary”) + Vermutung (“conjecture”).
The "Hauptvermutung" is the conjecture that homeomorphic. (finite) simplicial complexes have isomorphic subdivisions, i.e. homeo-.
$228.83
The Hauptvermutung is the conjecture that any two triangulations of a polyhedron are combinatorially equivalent. This conjecture was formulated at the turn ...
The homotopy Hauptvermutung is the conjecture that a (topological) homeomorphism between two PL (= piecewise linear) manifolds may be continuously deformed ...
Jan 9, 2020 · The Hauptvermutung proposes the following: if two finite simplicial complexes are homeomorphic then they are PL-homeomorphic, meaning that ...