On the immersion problem for \(2^r\)-torsion lens spaces

DOI10.1016/j.topol.2004.07.005zbMath1064.57035OpenAlexW2149747316MaRDI QIDQ1764677

Jesús González, Thomas A. Shimkus

Publication date: 22 February 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.07.005

zbMATH Keywords

Lens spacesObstruction theoryImmersionsModified Postnikov towers

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Immersions in differential topology (57R42)

Cites Work

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• Some new immersions and nonimmersions of \(2^r\)-torsion lens spaces
• Generalized axial maps and Euclidean immersions of lens spaces
• A generalized Conner--Floyd conjecture and the immersion problem for low 2-torsion lens spaces
• The cohomology of quotients of classical groups
• The projective Stiefel manifolds. II: Applications
• Connective K -Theoretic Euler Classes and Non-Immersions of 2 ^k -Lens Spaces
• Immersions of Manifolds
• Immersions of Complex Projective Spaces and the Generalized Vector Field Problem
• On Obstruction Theory in Orientable Fiber Bundles
• The metastable homotopy of 𝑆ⁿ
• Some Immersion Theorems for Projective Spaces
• On the immersion problem for real projective spaces
• Immersions and Embeddings of Projective Spaces
• Immersing projective spaces in Euclidean space

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