The boundedly controlled Whitehead theorem
HTML articles powered by AMS MathViewer
- by Douglas R. Anderson and Hans Jørgen Munkholm PDF
- Proc. Amer. Math. Soc. 117 (1993), 561-568 Request permission
Abstract:
This note contains a version of the Whitehead Theorem for boundedly controlled maps of CW complexes that is often useful in applications and complements the Whitehead Theorem in our book Boundedly controlled topology (Lecture Notes in Math., vol. 1323, Springer-Verlag, 1988). We also include a version of the Whitehead Theorem valid for simply connected boundedly controlled CW complexes.References
- Douglas R. Anderson and Hans J. Munkholm, Boundedly controlled topology, Lecture Notes in Mathematics, vol. 1323, Springer-Verlag, Berlin, 1988. Foundations of algebraic topology and simple homotopy theory. MR 953961, DOI 10.1007/BFb0079806
- Douglas R. Anderson and Hans Jørgen Munkholm, The bounded and thin Whitehead theorems, Proc. Amer. Math. Soc. 117 (1993), no. 2, 551–560. MR 1111431, DOI 10.1090/S0002-9939-1993-1111431-5 W. Vogell, Boundedly controlled algebraic $K$-theory of spaces and a non-connective delooping of $A(X)$, Universität Bielefeld, preprint, 1989.
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 117 (1993), 561-568
- MSC: Primary 19J10; Secondary 55P10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1111432-7
- MathSciNet review: 1111432