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Equivalence of shape fibrations and approximate fibrations

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Publication:676070
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DOI10.1016/S0166-8641(96)00097-1zbMath0872.55015OpenAlexW2011172639MaRDI QIDQ676070

Zvonko Čerin

Publication date: 8 October 1997

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00097-1


zbMATH Keywords

bundlehomotopyrelationapproximate fibrationapproximate polyhedronnumerable coveringshape fibrationweak fibrationweak shape fibration


Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Dimension theory in algebraic topology (55M10) Absolute neighborhood retracts (55M15) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Shape theory in general topology (54C56) Shape theory (55P55) Fiber spaces in algebraic topology (55R05)


Related Items

Multifibrations. A Class of Shape Fibrations with the Path Lifting Property ⋮ Shape theory



Cites Work

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  • Shape fibrations. II
  • Approximate fibrations
  • Approximate fibrations and a movability condition for maps
  • Homologie singulière des espaces fibrés. Applications
  • ON THE CONCEPT OF FIBER SPACE
  • An Intrinsic Description of Shape
  • Shape fibrations I
  • Approximate polyhedra, resolutions of maps and shape fibrations
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