RT Conference Proceedings T1 Homotopy nilpotency and co-nilpotency of spaces A1 Golasinski, Marek K1 Homotopía, Teoría de AB We review known and state some new results on homotopy nilpotency and co-nilpotency of spaces. Next, we take up the systematic study of homotopy nilpotency of homogenous spaces G/K for a Lie group G and its closed subgroup K < G. Then, the homotopy nilpotency of the loop spaces Ω(Gn,m(K)) and Ω(Vn,m(K)) of Grassmann Gn,m(K) and Stiefel Vn,m(K) manifolds for K = R, C, the field of reals or complex numbers and H, the skew R-algebra of quaternions is investigated. YR 2020 FD 2020-03-11 LK https://hdl.handle.net/10630/19405 UL https://hdl.handle.net/10630/19405 LA eng NO Universidad de Málaga. Campus de Excelencia Internacional Andalucía Tech. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 12 abr 2026