We show that many generalisations of Borsuk-Ulam's theorem follow from an elementary result of homological algebra.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-10, author = {Robert Cauty}, title = {Homologie des groupes et g\'en\'eralisations du th\'eor\`eme de Borsuk-Ulam}, journal = {Colloquium Mathematicae}, volume = {107}, year = {2007}, pages = {119-134}, zbl = {1123.54016}, language = {fra}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-10} }
Robert Cauty. Homologie des groupes et généralisations du théorème de Borsuk-Ulam. Colloquium Mathematicae, Tome 107 (2007) pp. 119-134. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm108-1-10/