On embeddings in the sphere

2003/10/16 by John R. Klein, Klein, John R.
Computer Science · Mathematics · #55P25 #57Q35 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.AT #msc:55P25 #msc:57Q35

paper · pdf · doi:10.48550/arxiv.math/0310236

13 pages. Revision fixes some typographical errors

openalex publication_date 2003/10/16 · arxiv created 2003/10/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider embeddings of a finite complex in a sphere. We give a homotopy theoretic classification of such embeddings in a wide range.

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