Isomorphic Loday functors of non-homeomorphic spaces
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866912776976334848 |
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| author | Baskov, Igor |
| author_facet | Baskov, Igor |
| contents | Each commutative algebra $A$ gives rise to a representation $\mathcal{L}_A$, which we call the Loday functor of $A$, of the category $Ω$ of finite sets and surjective maps. In this paper we present two (infinite-dimensional) non-isomorphic algebras over $\mathbb{C}$ with isomorphic Loday functors -- the algebras of continuous functions on the Möbius strip and on the cylinder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_17618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphic Loday functors of non-homeomorphic spaces Baskov, Igor Commutative Algebra Algebraic Topology Representation Theory Each commutative algebra $A$ gives rise to a representation $\mathcal{L}_A$, which we call the Loday functor of $A$, of the category $Ω$ of finite sets and surjective maps. In this paper we present two (infinite-dimensional) non-isomorphic algebras over $\mathbb{C}$ with isomorphic Loday functors -- the algebras of continuous functions on the Möbius strip and on the cylinder. |
| title | Isomorphic Loday functors of non-homeomorphic spaces |
| topic | Commutative Algebra Algebraic Topology Representation Theory |
| url | https://arxiv.org/abs/2512.17618 |