Connectivity of motivic H–spaces

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ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 14 (2014) 37–55

DOI: 10.2140/agt.2014.14.37

In this note we prove that the $A^{1}$ –connected component sheaf $a_{Nis} (π_{0}^{A^{1}} (X))$ of an $H$ –group $X$ is $A^{1}$ –invariant.

$\mathbb{A}^1$–homotopy theory, $H$–spaces, homotopy pullback

Primary: 14F42, 55P45

Secondary: 18E35

Received: 5 December 2012

Revised: 28 June 2013

Accepted: 1 July 2013

Preview posted: 21 November 2013

Published: 9 January 2014

Utsav Choudhury
Institut für Mathematik Universität Zürich Winterthurerstrasse 190 CH-8057 Zürich Switzerland
http://utsavchoudhury.weebly.com