The minimal dimension of a sphere with an equivariant embedding of the bouquet of $g$ circles is $2g-1$

Autor:	Zhongzi Wang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	050101 languages & linguistics 05 social sciences Dimension (graph theory) Primary 57M25 Secondary 57S17 57S25 05C10 Geometric Topology (math.GT) 02 engineering and technology Symmetry group Action (physics) Theoretical Computer Science Combinatorics Mathematics - Geometric Topology Computational Theory and Mathematics FOS: Mathematics 0202 electrical engineering electronic engineering information engineering Discrete Mathematics and Combinatorics Equivariant map Embedding Mathematics - Combinatorics 020201 artificial intelligence & image processing 0501 psychology and cognitive sciences Combinatorics (math.CO) Geometry and Topology Mathematics
Popis:	To embed the bouquet of $g$ circles $B_g$ into the $n$-sphere $S^n$ so that its full symmetry group action extends to an orthogonal actions on $S^n$, the minimal $n$ is $2g-1$. This answers a question raised by B. Zimmermann. 9 pages, 4 figures, To appear in Discrete Comput. Geom
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1749bdd4c9491770955d2e27e6d6b85d http://arxiv.org/abs/2203.16830 Zobrazit plný text záznamu