Generalized manifolds, normal invariants, and 𝕃-homology
DOI10.1017/S0013091521000316zbMath1478.57029arXiv2110.12742OpenAlexW3171077727MaRDI QIDQ5159382
Friedrich Hegenbarth, Dušan D. Repovš
Publication date: 27 October 2021
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.12742
generalized manifoldPoincaré duality complexabsolute neighbourhood retractSpanier-Whitehead dualitySpivak fibrationPontryagin-Thom constructionfundamental complexnormal invariant of degree one mapperiodic 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) 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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