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unstable modules

Proceedings of the Edinburgh Mathematical Society (1)

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Algebraic EHP Sequences Revisited
Part of
Thế Cu’ò’ng Nguyễn
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 62 / Issue 3 / August 2019

Published online by Cambridge University Press:

03 December 2018, pp. 625-640
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The algebraic EHP sequences, algebraic analogues of the EHP sequences in homotopy theory, are important tools in algebraic topology. This note will outline two new proofs of the existence of the algebraic EHP sequences. The first proof is derived from the minimal injective resolution of the reduced singular cohomology of spheres, and the second one follows Bousfield's idea using the loop functor of unstable modules.