๐œ‹โ‚-injective proper maps between non-compact surfaces

We classify all <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="pi 1"> <mml:semantics> <mml:msub> <mml:mi> ฯ€ </mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:annotation encoding="application/x-tex">\pi _1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -injective proper maps between non-compact surfaces up to proper homotopy.

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Publication Details

Journal
Proceedings of the American Mathematical Society
Published
2025-10-23
DOI
https://doi.org/10.1090/proc/17424
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

๐œ‹โ‚-injective proper maps between non-compact surfaces

Sumanta Das
Proceedings of the American Mathematical Society
Geometric and Algebraic Topology
article

๐œ‹โ‚-injective proper maps between non-compact surfaces

Sumanta Das
article en

Abstract

We classify all <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="pi 1"> <mml:semantics> <mml:msub> <mml:mi> ฯ€ </mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:annotation encoding="application/x-tex">\pi _1</mml:annotation> </mml:semantics> </mml:math> </inline-formula> -injective proper maps between non-compact surfaces up to proper homotopy.

Proceedings of the American Mathematical Society
Indian Institute of Technology Bombay (IN), Indian Institute of Science Bangalore (IN)
Openalex Percentile: Top 64%
Geometric and Algebraic Topology
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๐œ‹โ‚-injective proper maps between non-compact surfaces โ€” Sumanta Das ยท Proceedings of the American Mathematical Society (2025) | TGRS Research Map | TGRS