Approximative shape. I: Basic notions

DOI10.21099/tkbjm/1496160501zbMath0646.55006OpenAlexW268961749MaRDI QIDQ1103915

Tadashi Watanabe

Publication date: 1987

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496160501

zbMATH Keywords

shape theorycompletion functorTychonoff functorTikhonov functorapproximate polyhedraapproximative inverse systemsapproximative pro- categoryapproximative resolution of a mapapproximative resolutionsapproximative shape categoryrealization functorResolutions of spaces and mapstopologically complete Tychonoff spaces

Mathematics Subject Classification ID

Shape theory in general topology (54C56) Shape theory (55P55)

Related Items (11)

Approximate inverse systems which admit meshes ⋮ Strong homology and dimension ⋮ Approximate resolutions and box-counting dimension. ⋮ Approximate resolutions of uniform spaces ⋮ Cosmic Approximate Limits and Fixed Points ⋮ A Note on Cohomological Dimension of Approximate Movable Spaces ⋮ Numerical Meshes and Covering Meshes of Approximate Inverse Systems of Compacta ⋮ Shape theory ⋮ Strong expansions and strong shape theory ⋮ Internal fundamental sequences and approximative retracts ⋮ Lipschitz functions and approximate resolutions

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