%0 Journal Article
%T Manifolds admitting a continuous cancellative binary operation are orientable
%A Taras Banakh
%A Igor Guran
%A Alex Ravsky
%J Mathematics
%D 2015
%I arXiv
%X We prove that a topological manifold (possibly with boundary) admitting a continuous cancellative binary operation is orientable. This implies that the M\"obius band admits no cancellative continuous binary operation. This answers a question posed by the second author in 2010.
%U http://arxiv.org/abs/1503.08993v1