Categorical shape theory and the back and forth property

DOI10.1016/0022-4049(78)90022-1zbMath0394.18002OpenAlexW2032716180MaRDI QIDQ1252283

John J. MacDonald

Publication date: 1978

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(78)90022-1

zbMATH Keywords

functor categoriescategorical shape theorycoschape isomorphism

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Special categories (18B99) Natural morphisms, dinatural morphisms (18A23) Shape theory in general topology (54C56) Shape theory (55P55) Functor categories, comma categories (18A25)

Related Items

Cohomology operations in a category

Cites Work

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• Etale homotopy
• Borsuk shape and a generalization of Grothendieck's definition of pro-category
• On the categorical shape of a functor
• Concerning homotopy properties of compacta
• Infinitary properties of abelian torsion groups
• Shapes of compacta and ANR-systems