On Inverse Limits of Homotopy Sets
- 1 February 1975
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 47 (2) , 487-490
- https://doi.org/10.2307/2039769
Abstract
An elementary proof is given that, under certain conditions on a space , the homotopy set maps bijectively onto the inverse limit of homotopy sets determined by the finite subcomplexes of . The only other satisfactory proof known requires the Brown representability theorem.Keywords
This publication has 2 references indexed in Scilit:
- A variant of E. H. Brown's representability theoremTopology, 1971
- On axiomatic homology theoryPacific Journal of Mathematics, 1962