A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Homeomorphisms of bounded length distortion

1987
*
Annales Academiae Scientiarum Fennicae Series A I Mathematica
*

a homeo' morphism. We let /(a) denote the length of a path a.lf L=l and if (1.2) t(u)lL=t(fa)=Lt(a) for all paths a in D, we say that / is of L-bounded length distortion, abbreviated Z-BLD. In a joint article [MV] of O. Martio and the author, we consider more general BLD maps: discrete open maps of domains of -P into Å' satisfying (1.2). For homeomorphisms and, more generally, for immersions, (1.2) is equivalent to the following condition: Every point in D has a neighborhood U such that /lU is

doi:10.5186/aasfm.1987.1233
fatcat:5xqfyh3u5fhn5f5kuwlbcnrpbq