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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
