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The -Categorical Reflection Theorem and Applications
Shaul Ragimov, Tomer M. Schlank
We prove an -categorical version of the reflection theorem of Adámek-Rosický. Namely, that a full subcategory of a presentable -category which is closed under lim…
On Hopkins' Picard group
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the algebraic Picard group of the category of -local spectra, for all heights and all primes . In particular, we show that it is always finitely generated o…
On the rationalization of the -local sphere
Tobias Barthel, Tomer M. Schlank, Nathaniel Stapleton +1
We compute the rational homotopy groups of the -local sphere for all heights and all primes , verifying a prediction that goes back to the pioneering work of Morava in…
Chromatic Cardinalities via Redshift
Shay Ben-Moshe, Shachar Carmeli, Tomer M. Schlank +1
Using higher descent for chromatically localized algebraic -theory, we show that the higher semiadditive cardinality of a -finite -space at the Lubin-Tate spectrum $E…