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arXiv · 1802.09867

The Whitehead exact sequence and the classification problem of homotopy types

Mahmoud Benkhalifa
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Abstract

This paper defines an invariant associated to Whitehead's certain exact sequence of a simply connected CW-complex which is much more elementary - and less powerful - than the boundary invariant of Baues. Nevertheless, in good cases, it classifies the homotopy types of CW-complexes.

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Mahmoud Benkhalifa. 2018-02-27. The Whitehead exact sequence and the classification problem of homotopy types. https://arxiv.org/abs/1802.09867

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