Systolic freedom of loop space

Mikhail G. Katz, Alexander I. Suciu

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We observe greater systolic freedom via Sullivan's telescopes. Namely, given integers m and n such that 2 ≤ m < n, we use rational homotopy theory to prove that every n-dimensional manifold admits metrics of arbitrarily small total volume, and satisfying the following property: every m-dimensional orientable submanifold of less than unit m-volume is necessarily torsion in homology.

Original languageEnglish
Pages (from-to)60-73
Number of pages14
JournalGeometric and Functional Analysis
Issue number1
StatePublished - 2001


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