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  • Volume 150, Number 2 (1991), 329-339.

Embedding a $2$-complex $K$ in ${bf R}^4$ when $H^2(K)$ is a cyclic group.

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Article information

Source
Pacific J. Math., Volume 150, Number 2 (1991), 329-339.

Dates
First available in Project Euclid: 8 December 2004
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Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102637671

Mathematical Reviews number (MathSciNet)
MR1123446

Zentralblatt MATH identifier
0774.57003

Subjects
Primary: 57N35: Embeddings and immersions
Secondary: 57N45: Flatness and tameness57Q35: Embeddings and immersions

Citation

Kranjc, Marko. Embedding a $2$-complex $K$ in ${bf R}^4$ when $H^2(K)$ is a cyclic group. Pacific J. Math. 150 (1991), no. 2, 329--339. https://projecteuclid.org/euclid.pjm/1102637671


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References

  • [1] R. Fenn, Techniques of Geometric Topology,Cambridge University Press, 1983.
    Mathematical Reviews (MathSciNet): MR87a:57002
    Zentralblatt MATH: 0517.57001
  • [2] A. Flores, Jber die Existenz n-dimensionaler Komplexe, die nicht in den i?2 topologisheinbettbar sind, Erbeg. Math Kolloq., 5 (1932/33), 17-24.
  • [3] M. Freedman, The topology of 4-manifolds, J. Differential Geom., 17 (1982), 357-453.
    Mathematical Reviews (MathSciNet): MR84b:57006
    Zentralblatt MATH: 0528.57011
  • [4] M. Kranjc, Embedding 2-complexes in I4, Pacific J. Math., 133 (1988), 301- 313.
    Mathematical Reviews (MathSciNet): MR89f:57023
    Zentralblatt MATH: 0627.57018
  • [5] E. Rees, Embedding odd torsion manifolds, Bull. London Math. Soc, 3 (1971), 356-362.
    Mathematical Reviews (MathSciNet): MR45:6023
    Zentralblatt MATH: 0224.57012
  • [6] A. Shapiro, Obstructions to the imbedding of a complex in a Euclidean space,I. The first obstruction,Ann. of Math., 66, No. 2 (1957), 256-269.
    Mathematical Reviews (MathSciNet): MR19:671a
    Zentralblatt MATH: 0085.37701
  • [7] H. Whitney, The self-intersections of a smooth n-manifold in In-space, Ann. of Math., 45(1944), 220-246.
    Mathematical Reviews (MathSciNet): MR5:273g
    Zentralblatt MATH: 0063.08237

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