@article{Idzik_Kulpa_Maćkowiak_2016, title={Equivalent forms of the Brouwer fixed point theorem}, volume={44}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2014.047}, abstractNote={In this paper we survey a set of Brouwer fixed point theorem equivalents. These equivalents are divided into four loops related to (1) the Borsuk retraction theorem, (2) the Himmelberg fixed point theorem, (3) the Gale lemma and (4) the Nash equilibrium theorem.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Idzik, Adam and Kulpa, Władysław and Maćkowiak, Piotr}, year={2016}, month={Apr.}, pages={263–276} }