Finite-dimensional spaces in resolving classes

• Autorzy: Jeffrey Strom
• Języki publikacji: EN

Abstrakty

EN

Using the theory of resolving classes, we show that if X is a CW complex of finite type such that $map⁎(X,S^{2n+1}) ~ ∗$ for all sufficiently large n, then map⁎(X,K) ∼ ∗ for every simply-connected finite-dimensional CW complex K; and under mild hypotheses on π₁(X), the same conclusion holds for all finite-dimensional complexes K. Since it is comparatively easy to prove the former condition for X = Bℤ/p (we give a proof in an appendix), this result can be applied to give a new, more elementary proof of the Sullivan conjecture.

Kategorie tematyczne

• 55S37: Classification of mappings
• 55R35: Classifying spaces of groups and H -spaces
• 55S10: Steenrod algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 217
• Numer: 2
• Strony: 171-187

Daty

wydano

2012

Twórcy

autor

Jeffrey Strom

• Department of Mathematics, Western Michigan University, Kalamazoo, MI 49008-5200, U.S.A.

Identyfikatory

DOI

10.4064/fm217-2-3