Das, S and Gadgil, S (2023) Surfaces of infinite-type are non-Hopfian Les surfaces de type infini sont non-Hopfian. In: Comptes Rendus Mathematique, 361 . pp. 1349-1356.
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Official URL: https://doi.org/10.5802/crmath.504
Abstract
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. © 2023 Elsevier Masson SAS. All rights reserved.
| Item Type: | Journal Article |
|---|---|
| Publication: | Comptes Rendus Mathematique |
| Publisher: | Academie des sciences |
| Additional Information: | The copyright for this article belongs to author. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 04 Mar 2024 09:26 |
| Last Modified: | 04 Mar 2024 09:26 |
| URI: | https://eprints.iisc.ac.in/id/eprint/84291 |
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