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arxiv: 1802.09867 · v4 · pith:W4FVVWPTnew · submitted 2018-02-27 · 🧮 math.AT

The Whitehead exact sequence and the classification problem of homotopy types

classification 🧮 math.AT
keywords exacthomotopyinvariantsequencetypeswhiteheadassociatedbaues
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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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