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Monomorphisms and epimorphisms in homotopy theory

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Publication:1058754
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DOI10.1007/BF02761953zbMath0565.55010MaRDI QIDQ1058754

Joseph Roitberg

Publication date: 1983

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


zbMATH Keywords

epimorphismsmonomorphismsHopfian grouphomotopy equivalenceco-Hopfian objectsHopfian objectnilpotent spaces of finite typepath-connected CW-spaces


Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Nilpotent groups (20F18) Homotopy theory (55P99) Eilenberg-Mac Lane spaces (55P20) Eckmann-Hilton duality (55P30)


Related Items (5)

Unnamed Item ⋮ Homotopy-epimorphisms, homotopy-monomorphisms and homotopy-equivalences ⋮ Epimorphisms and Monomorphisms in Homotopy ⋮ Hopfian and co-Hopfian 𝐺-CW-complexes ⋮ Residual finiteness in homotopy theory



Cites Work

  • Unnamed Item
  • Residual finiteness in homotopy theory
  • Genetics of homotopy theory and the Adams conjecture
  • Note on Epimorphisms and Monomorphisms in Homotopy Theory
  • Shorter Notes: The Whitehead Theorem for Nilpotent Spaces


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