Morse Theory and Minimal Models

Part of the Modern Birkhäuser Classics book series (MBC)


In Chapter 6, we introduced the notion of 2-dimensional isoperimetric rank (6.32) as the largest number p, such that each simple curve of length is bounded by a disk of area at most Cℓp/p−1. This definition only makes sense in noncompact manifolds, and we have shown that the 2-dimensional isoperimetric rank of the universal cover of a compact manifold V depends only on the fundamental group π1(V).


Fundamental Group Minimal Model Universal Cover Word Problem Homotopy Class 
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© Birkhäuser Boston 2007

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