The fundamental groups of subsets of closed surfaces inject into their first shape groups.

Fischer, Hanspeter, and Zastrow, Andreas. "The fundamental groups of subsets of closed surfaces inject into their first shape groups.." Algebraic & Geometric Topology 5 (2005): 1655-1676. <http://eudml.org/doc/125948>.

@article{Fischer2005,
author = {Fischer, Hanspeter, Zastrow, Andreas},
journal = {Algebraic & Geometric Topology},
keywords = {homotopy groups of special spaces; shape groups; 2-manifolds; locally free; fully residually free; planar sets},
language = {eng},
pages = {1655-1676},
publisher = {Geometry & Topology Publications, Mathematics Institute, University of Warwick, Coventry; Mathematical Sciences Publishers, Berkeley},
title = {The fundamental groups of subsets of closed surfaces inject into their first shape groups.},
url = {http://eudml.org/doc/125948},
volume = {5},
year = {2005},
}

TY - JOUR
AU - Fischer, Hanspeter
AU - Zastrow, Andreas
TI - The fundamental groups of subsets of closed surfaces inject into their first shape groups.
JO - Algebraic & Geometric Topology
PY - 2005
PB - Geometry & Topology Publications, Mathematics Institute, University of Warwick, Coventry; Mathematical Sciences Publishers, Berkeley
VL - 5
SP - 1655
EP - 1676
LA - eng
KW - homotopy groups of special spaces; shape groups; 2-manifolds; locally free; fully residually free; planar sets
UR - http://eudml.org/doc/125948
ER -