Work

$$\mathbb {E}_\infty $$-coalgebras and p-adic homotopy theory

Year: 2026

Type: article

Abstract: We show that for any separably closed field k of characteristic $$p>0$$ p > 0 , the canonical functor from nilpotent p -adic spaces to $$\mathbb {E}_\infty $$ E ∞ -coalgebras over k (given by singular chains with coefficients in k ) is fully faithful. We also identify the essential image of simply connected spaces inside coalgebras. This dualizes and removes finiteness assumptions from a theorem of Mandell.

Source: Selecta Mathematica

DOI: 10.1007/s00029-026-01141-1

Authors: Tom Bachmann, Robert Burklund

Institutions: Johannes Gutenberg University Mainz, University of Copenhagen

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Science Foundation, Johns Hopkins University, Deutsche Forschungsgemeinschaft, Danmarks Grundforskningsfond