On completion and shape

DOI10.1007/BF02938487zbMath0397.18002OpenAlexW2016070783MaRDI QIDQ4180519

Armin Frei

Publication date: 1974

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02938487

zbMATH Keywords

shapecompletionlocalization theoriescanonical embedding functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Shape theory in general topology (54C56) Shape theory (55P55)

Related Items

Unnamed Item, Unnamed Item, Extending localization functors, On $T_1$-reflection of topological spaces, Functors between shape categories, Theory of shapes. I

Cites Work

• Idempotent triples and completion
• Existence of the Adams completion for CW-complexes
• Homotopy limits, completions and localizations
• Concerning homotopy properties of compacta
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