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