Abstract

In this paper a notion of volume on closed stratified subsets of a riemannian manifold M is defined and the following results are proved: 1) There are compact 2-dimensional stratified suvsets of R3which satisfy strict Whitney condition and have not finite volume. 2) If a closed p-dimensional stratified subset of M satisfies Whitney condition and has strata in dimension p and p — 1 only, then it has locally finite volume. 3) Subanalytic sets have locally finite volume.

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