Showing a limited preview of this publication:
Abstract
Let Y be a simply connected finite complex and let p be a prime. Let Sm[p–1] denote the complex obtained from the m-sphere by inverting p. It is shown in this paper that Y has an eventual H-space exponent at p if and only if the space map*(Sm[p–1], Y) of pointed maps Sm[p–1] → Y has the homotopy type of a CW complex for some (and hence all big enough) m. This makes it possible to interpret the question of eventual H-space exponents in terms of phantom phenomena of mapping spaces.
Received: 2008-02-24
Revised: 2008-07-21
Published Online: 2010-02-08
Published in Print: 2010-May
© de Gruyter 2010
