The chromatic colocalization of the sphericalunits is of height 1

The chromatic colocalization of the spherical units is of height 1 SHACHAR CARMELIWe show that for a large class of connective spectra, including the connective covers of L f n -local spectra for every integer n, the mapping space into the units of the p-complete sphere spectrum is insensitive to L 1 -localization followed by taking connective cover.

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Publication Details

Journal
Geometry & Topology
Published
2025-11-26
DOI
https://doi.org/10.2140/gt.2025.29.4449
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

The chromatic colocalization of the sphericalunits is of height 1

Shachar Carmeli
Geometry & Topology
Homotopy and Cohomology in Algebraic Topology
article

The chromatic colocalization of the sphericalunits is of height 1

Shachar Carmeli
article en

Abstract

The chromatic colocalization of the spherical units is of height 1 SHACHAR CARMELIWe show that for a large class of connective spectra, including the connective covers of L f n -local spectra for every integer n, the mapping space into the units of the p-complete sphere spectrum is insensitive to L 1 -localization followed by taking connective cover.

Geometry & TopologyVol. 29(8)
Weizmann Institute of Science (IL)
Openalex Percentile: Top 57%
Homotopy and Cohomology in Algebraic Topology
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The chromatic colocalization of the sphericalunits is of height 1 — Shachar Carmeli · Geometry & Topology (2025) | TGRS Research Map | TGRS