Strong homology of inverse systems of spaces. I; II

DOI10.1016/0166-8641(85)90083-5zbMath0559.55008OpenAlexW1990469754MaRDI QIDQ2266255

Sibe Mardešić, Yurij T. Lisitsa

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90083-5

zbMATH Keywords

strong homologySteenrod-Sitnikov homologystrong shape theorycategory of inverse systems of topological spacescoherent pro- homotopy categorypro-top

Mathematics Subject Classification ID

Spectra in general topology (54B35) Other homology theories in algebraic topology (55N35) Shape theory in general topology (54C56) Shape theory (55P55) Steenrod-Sitnikov homologies (55N07)

Related Items

Homologie de Steenrod-Sitnikov et limite homotopique algébrique. (Steenrod-Sitnikov homology and algebraic homotopy limits), Strong homology and dimension, Strong homology does not have compact supports, On strong homology of compact spaces, On Ring Structures Under Strong Cup Products, Second structure theorem for strong homology, Extraordinary strong homology, Unnamed Item, Phantom maps from a strong homology viewpoint, Shape theory, Strong bonding homology and cohomology, Non-additivity of strong homology

Cites Work

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• Cech and Steenrod homotopy theories with applications to geometric topology
• Generalized homology theories on compact metric spaces
• Regular cycles of compact metric spaces
• Steenrod-Sitnikov homology for arbitrary spaces
• K-Theory and Steenrod Homology: Applications to the Brown-Douglas-Fillmore Theory of Operator Algebras
• Approximate polyhedra, resolutions of maps and shape fibrations