A Whitehead type theorem
HTML articles powered by AMS MathViewer
- by H. B. Haslam PDF
- Proc. Amer. Math. Soc. 29 (1971), 599-602 Request permission
Abstract:
Let $\mathfrak {F}$ denote the Serre class of finite abelian groups. We consider, for example, conditions under which a map which induces an $\mathfrak {F}$-epimorphism in homotopy also induces an $\mathfrak {F}$-epimorphism in homology.References
- M. Arkowitz and C. R. Curjel, The Hurewicz homomorphism and finite homotopy invariants, Trans. Amer. Math. Soc. 110 (1964), 538β551. MR 158401, DOI 10.1090/S0002-9947-1964-0158401-8
- M. Arkowitz and C. R. Curjel, Zum Begriff des $H$-Raumes $\textrm {mod}\ {\cal F}$, Arch. Math. (Basel) 16 (1965), 186β190 (German). MR 179789, DOI 10.1007/BF01220019
- IsraΓ«l Berstein, Homotopy $\textrm {mod.}\ C$ of spaces of category 2, Comment. Math. Helv. 35 (1961), 9β14. MR 123324, DOI 10.1007/BF02566999
- H. B. Haslam, $G$-spaces $\textrm {mod}\ F$ and $H$-spaces $\textrm {mod}\ F$, Duke Math. J. 38 (1971), 671β679. MR 287538
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 599-602
- MSC: Primary 55.40
- DOI: https://doi.org/10.1090/S0002-9939-1971-0279809-5
- MathSciNet review: 0279809