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Strong theory of shapes and Steenrod-Sitnikov homology

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Publication:799260
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DOI10.1007/BF00969553zbMath0548.55008MaRDI QIDQ799260

Yurij T. Lisitsa

Publication date: 1983

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Čech system a spacecoherent prohomotopy category of degree 2projection systemSteenrod-Sitnikov homologiesstrong fundamental sequencesstrong n-cycle of a projection systemstrong shape category of topological spacesstrong shape theories of higher order


Mathematics Subject Classification ID

Shape theory in general topology (54C56) Shape theory (55P55) Steenrod-Sitnikov homologies (55N07)




Cites Work

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  • Realizing strong shape equivalences
  • Cech and Steenrod homotopy theories with applications to geometric topology
  • A shape theory with singular homology
  • Homotopy limits and colimits
  • Homotopy limits, completions and localizations
  • Regular cycles of compact metric spaces
  • On fine shape theory
  • Čech cohomology and covering dimension for topological spaces
  • On fine shape theory II
  • ČEch Homotopy I
  • Shapes for topological spaces
  • Net Homotopy for Compacta
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