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arXiv 1902.050462019-02-16math.AT

A short introduction to the telescope and chromatic splitting conjectures

Tobias Barthel

备注：: Accepted for publication in Surveys around Ohkawa's theorem on Bousfield classes. All comments welcome. v2: Corrected some typos

英文摘要：

In this note, we give a brief overview of the telescope conjecture and the chromatic splitting conjecture in stable homotopy theory. In particular, we provide a proof of the folklore result that Ravenel's telescope conjecture for all heights combined is equivalent to the generalized telescope conjecture for the stable homotopy category, and explain some similarities with modular representation theory.

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