Remarks on iterations of the A1-chain connected components construction.
| dc.contributor.author | Balwe, Chetan | |
| dc.contributor.author | Rani, Bandna | |
| dc.contributor.author | Sawant, Anand | |
| dc.date.accessioned | 2023-08-23T18:14:15Z | |
| dc.date.available | 2023-08-23T18:14:15Z | |
| dc.date.issued | 2022 | |
| dc.description | Only IISER Mohali authors are available in the record. | en_US |
| dc.description.abstract | We show that the sheaf of A 1 - connected components of a Nisnevich sheaf of sets and its universal A 1 - invariant quotient (obtained by iterating the A 1 - chain connected components construction and taking the direct limit) agree on field-valued points. This establishes an explicit formula for the field-valued points of the sheaf of A 1 - connected components of any space. Given any natural number n , we construct an A 1 -connected space on which the iterations of the naive A1 - connected components construction do not stabilize before the n-th stage. | en_US |
| dc.identifier.citation | Annals of K-Theory, 7(2), 385--394. | en_US |
| dc.identifier.uri | https://doi.org/10.2140/akt.2022.7.385 | |
| dc.identifier.uri | http://hdl.handle.net/123456789/5123 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Mathematical Sciences Publishers | en_US |
| dc.subject | Morel's conjecture | en_US |
| dc.subject | chain connected components | en_US |
| dc.title | Remarks on iterations of the A1-chain connected components construction. | en_US |
| dc.type | Article | en_US |