无限型曲面是非hopfian曲面

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2023-10-31 DOI:10.5802/crmath.504

Sumanta Das, Siddhartha Gadgil

引用次数: 0

摘要

我们证明了有限型曲面的特征是Hopf性质的拓扑模拟。也就是说，一个有向曲面Σ是有限型的当且仅当每一个阶为1的固有映射f:Σ→Σ与同纯同调。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Surfaces of infinite-type are non-Hopfian

We show that finite-type surfaces are characterized by a topological analogue of the Hopf property. Namely, an oriented surface Σ is of finite-type if and only if every proper map f:Σ→Σ of degree one is homotopic to a homeomorphism.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.