An algebraic study of the Klein bottle

DOI10.1007/s40062-016-0156-9zbMath1362.18018OpenAlexW2552547073MaRDI QIDQ504542

Larry A. Lambe

Publication date: 17 January 2017

Published in: Journal of Homotopy and Related Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40062-016-0156-9

zbMATH Keywords

topologyKlein bottlehomological algebraFriCASstrong deformation retraction

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Software, source code, etc. for problems pertaining to algebraic topology (55-04) Bar and cobar constructions (57T30) Resolutions; derived functors (category-theoretic aspects) (18G10) Chain complexes in algebraic topology (55U15)

Uses Software

• AXIOM
• IBM Scratchpad
• HAP
• Asymptote
• FriCAS

Cites Work

• Homology of Noetherian rings and local rings
• Resolutions via homological perturbation
• Applications of perturbation theory to iterated fibrations
• Resolutions which split off of the bar construction
• Free resolutions for semi-direct products
• On the chain-complex of a fibration
• Relations between homology and homotopy groups of spaces. II
• Relations between homology and homotopy groups of spaces
• A Fixed Point Approach to Homological Perturbation Theory
• Homology
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