RT Journal Article
T1 On some topological realizations of groups and homomorphisms
A1 Chocano Feito, Pedro José
A1 Alonso Morón, Manuel
A1 Romero Ruiz Del Portal, Francisco
AB Given a homomorphism of groups f : G → H, we construct a topological space Xf such that its group of homeomorphisms Aut(Xf) is isomorphic to G, its group of homotopy classes of self-homotopy equivalences E(Xf) is isomorphic to H and the natural map between Aut(Xf) and E(Xf) is f. In addition, we consider realization problems involving homology groups, homotopy groups and groups of automorphisms.
PB American Mathematical Society
SN 0002-9947
YR 2022
FD 2022-08-24
LK https://hdl.handle.net/20.500.14352/71700
UL https://hdl.handle.net/20.500.14352/71700
LA eng
NO Chocano Feito, P. J., Alonso Morón, M., Romero Ruiz Del Portal, F. «On Some Topological Realizations of Groups and Homomorphisms». Transactions of the American Mathematical Society, vol. 375, n.o 12, agosto de 2022, pp. 8635-49. DOI.org (Crossref), https://doi.org/10.1090/tran/8719.
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 30 sept 2024