1Faculty of Mechanics and Mathematics, Ivan Franko National University, Lviv 79000, Ukraine 2Pidstryhach Institute, National Academy of Sciences, 3-b Naukova Street, Lviv 79060, Ukraine
Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1177-1185
Generalizing the well-known result on the orientability of Lie groups, we prove that a topological manifold (possibly with boundary) admitting a continuous cancellative binary operation is orientable. This implies that the Möbius band admits no cancellative continuous binary operation and answers a question posed by the second author in 2010.
1
Faculty of Mechanics and Mathematics, Ivan Franko National University, Lviv 79000, Ukraine
2
Pidstryhach Institute, National Academy of Sciences, 3-b Naukova Street, Lviv 79060, Ukraine
Taras Banakh; Ivan Guran; Alex Ravsky. Manifolds Admitting a Continuous Cancellative Binary Operation are Orientable. Journal of Lie Theory, Tome 26 (2016) no. 4, pp. 1177-1185. http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a10/
@article{JOLT_2016_26_4_a10,
author = {Taras Banakh and Ivan Guran and Alex Ravsky},
title = {Manifolds {Admitting} a {Continuous} {Cancellative} {Binary} {Operation} are {Orientable}},
journal = {Journal of Lie Theory},
pages = {1177--1185},
year = {2016},
volume = {26},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a10/}
}
TY - JOUR
AU - Taras Banakh
AU - Ivan Guran
AU - Alex Ravsky
TI - Manifolds Admitting a Continuous Cancellative Binary Operation are Orientable
JO - Journal of Lie Theory
PY - 2016
SP - 1177
EP - 1185
VL - 26
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a10/
ID - JOLT_2016_26_4_a10
ER -
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%D 2016
%P 1177-1185
%V 26
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2016_26_4_a10/
%F JOLT_2016_26_4_a10
