caa a22 4500 386383383 CHVBK 20180307112050.0 cr unu---uuuuu 161130s1989 xx s 000 0 eng 10.1017/S0308210500028171 doi S0308210500028171 pii (NATIONALLICENCE)cambridge-10.1017/S0308210500028171 Mahmud Zafer Mathematics Department, Kuwait University, P.O. Box 5969, Safat, Kuwait Unstable atomicity of ΩSpin(r) [Elektronische Daten] [Zafer Mahmud] We determine the homomorphism induced, in Z2-cohomology, by a map f: ΩSpin(r) → ΩSpin(r). As a corollary we show that ΩSpin(r), r ≧ 9 is 2-atomic, where a space X is 2-atomic if any map f: X ≧X is either a mod 2 homotopy equivalence or f*: H*(X, Z2) → H*(X, Z2) is nilpotent. Copyright © Royal Society of Edinburgh 1989 Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/1-2(1989), 53-69 0308-2105 112:1-2<53 1989 112 PRM https://doi.org/10.1017/S0308210500028171 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0308210500028171 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Mahmud Zafer Mathematics Department, Kuwait University, P.O. Box 5969, Safat, Kuwait NATIONALLICENCE 773 0- Proceedings of the Royal Society of Edinburgh: Section A Mathematics Royal Society of Edinburgh Scotland Foundation 112/1-2(1989), 53-69 0308-2105 112:1-2<53 1989 112 PRM CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge