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Systolic Geometry and Topology - Katz, Mikhail G.

Presents the systolic geometry of manifolds and polyhedra, starting with the two classical inequalities. This book features Gromov's inequalities and their generalisations, as well as asymptotic phenomena for systoles of surfaces of large genus, revealing a link both to ergodic theory and to properties of congruence subgroups of arithmetic groups.

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