Naumann, JoachimSimader, Christian G.2017-06-152017-06-152011-08-112011-08-110863-0976http://edoc.hu-berlin.de/18452/3425The first part of this paper is concerned with various definitions of a $k$-dimensional Lipschitz manifold ${\cal M}^k$ and a discussion of the equivalence of these definitions. The second part is then devoted to the geometrically intrinsic construction of a $\sigma$-algebra ${\cal L}({\cal M}^k)$ of subsetsof ${\cal M}^k$ and a measure $\mu_k$ on ${\cal L}({\cal M}^k)$.eng510 Mathematikbookurn:nbn:de:kobv:11-10019060610.18452/27732075199-0