Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$
We exhibit counterexamples to F. Morel’s conjecture on the $\mathbb{A}^1$-invariance of the sheaves of connected components of $\mathbb{A}^1$-local spaces.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-10-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.472/ |
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| _version_ | 1825206230282403840 |
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| author | Ayoub, Joseph |
| author_facet | Ayoub, Joseph |
| author_sort | Ayoub, Joseph |
| collection | DOAJ |
| description | We exhibit counterexamples to F. Morel’s conjecture on the $\mathbb{A}^1$-invariance of the sheaves of connected components of $\mathbb{A}^1$-local spaces. |
| format | Article |
| id | doaj-art-57c85577fb44454aa9d48ad4428f3444 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-57c85577fb44454aa9d48ad4428f34442025-02-07T11:09:55ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-10-01361G71087109010.5802/crmath.47210.5802/crmath.472Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$Ayoub, Joseph0University of Zurich / LAGA - Université Sorbonne Paris NordWe exhibit counterexamples to F. Morel’s conjecture on the $\mathbb{A}^1$-invariance of the sheaves of connected components of $\mathbb{A}^1$-local spaces.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.472/ |
| spellingShingle | Ayoub, Joseph Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ Comptes Rendus. Mathématique |
| title | Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ |
| title_full | Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ |
| title_fullStr | Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ |
| title_full_unstemmed | Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ |
| title_short | Counterexamples to F. Morel’s conjecture on $\protect \pi _0^{\protect \mathbb{A}^1}$ |
| title_sort | counterexamples to f morel s conjecture on protect pi 0 protect mathbb a 1 |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.472/ |
| work_keys_str_mv | AT ayoubjoseph counterexamplestofmorelsconjectureonprotectpi0protectmathbba1 |