On the homotopy category of Moore spaces and the cohomology of the category of abelian groups
Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 265-289
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.
@article{10_4064_fm_150_3_265_289,
author = {Hans-Joachim Baues and Manfred Hartl},
title = {On the homotopy category of {Moore} spaces and the cohomology of the category of abelian groups},
journal = {Fundamenta Mathematicae},
pages = {265--289},
year = {1996},
volume = {150},
number = {3},
doi = {10.4064/fm-150-3-265-289},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-150-3-265-289/}
}
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Hans-Joachim Baues; Manfred Hartl. On the homotopy category of Moore spaces and the cohomology of the category of abelian groups. Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 265-289. doi: 10.4064/fm-150-3-265-289
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