On Steenrod 𝕃-homology, generalized manifolds, and surgery

DOI10.1017/S0013091520000012zbMath1439.55004arXiv2004.08803OpenAlexW3102321956MaRDI QIDQ4961145

Friedrich Hegenbarth, Dušan D. Repovš

Publication date: 22 April 2020

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08803

zbMATH Keywords

generalized manifoldQuinn indexPoincaré duality complexfundamental complex\(\mathbb{L}\)-homology classperiodic surgery spectrum \(\mathbb{L}\)Steenrod \(\mathbb{L}\)-homology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Surgery and handlebodies (57R65) Surgery obstructions, Wall groups (57R67) Steenrod-Sitnikov homologies (55N07) Poincaré duality spaces (57P10) Local properties of generalized manifolds (57P05) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Duality in algebraic topology (55M05) Abstract manifolds and fiber bundles (category-theoretic aspects) (18F15)

Related Items

Limits of manifolds in the Gromov-Hausdorff metric space, Generalized manifolds, normal invariants, and 𝕃-homology

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