Volume distortion in groups
نویسندگان
چکیده
منابع مشابه
Volume Distortion in Groups
Given a space Y in X, a cycle in Y may be filled with a chain in two ways: either by restricting the chain to Y or by allowing it to be anywhere in X. When the pair (G, H) acts on (X, Y ), we define the k–volume distortion function of H in G to measure the large-scale difference between the volumes of such fillings. We show that these functions are quasi-isometry invariants, and thus independen...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2011
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2011.11.655