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nLab > Latest Changes: telescope conjecture

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- CommentRowNumber1.
- CommentAuthorJon Beardsley
- CommentTimeSep 27th 2012
- PermaLink
Author: Jon Beardsley
Format: MarkdownItexCreated the page [telescope conjecture](http://nlab.mathforge.org/nlab/show/telescope+conjecture) since I noticed it was linked to by [Morava K-theory](http://nlab.mathforge.org/nlab/show/Morava+K-theory) but didn't exist. Might add more later, specifically about how this is generalized to the setting of axiomatic stable homotopy categories and how it is true after localizing at $BP$, $E(n)$ and some other spectra, but believed to be false in general.

Created the page telescope conjecture since I noticed it was linked to by Morava K-theory but didn’t exist. Might add more later, specifically about how this is generalized to the setting of axiomatic stable homotopy categories and how it is true after localizing at $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>BP</mi></mrow><annotation encoding="application/x-tex">BP</annotation></semantics></math>$ , $<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>E</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">E(n)</annotation></semantics></math>$ and some other spectra, but believed to be false in general.

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