Remarks on iterations of the \(\mathbb{A}^1\)-chain connected components construction

DOI10.2140/akt.2022.7.385OpenAlexW4295882860MaRDI QIDQ2676728

Anand Sawant, Bandna Rani, Chetan T. Balwe

Publication date: 28 September 2022

Published in: Annals of \(K\)-Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.08663

zbMATH Keywords

\(\mathbb{A}^1\)-connected components\(\mathbb{A}^1\)-chain connected componentsMorel's conjecture

Mathematics Subject Classification ID

Motivic cohomology; motivic homotopy theory (14F42)

Related Items (1)

\( \mathbb{A}^1\)-connected components and characterisation of \(\mathbb{A}^2\)

Cites Work

• \(\mathbb A^1\)-algebraic topology over a field
• Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms
• \(\mathbb{A}^1\)-connected components of ruled surfaces
• \(\mathbb A^1\)-connected components of schemes
• Naive vs. genuine A^1-connectedness
• \(\mathbb{A}^1\)-homotopy theory of schemes

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