## Hiroshima Mathematical Journal

### On 4-dimensional closed manifolds with free fundamental groups

#### Article information

Source
Hiroshima Math. J., Volume 25, Number 2 (1995), 367-370.

Dates
First available in Project Euclid: 21 March 2008

https://projecteuclid.org/euclid.hmj/1206127716

Digital Object Identifier
doi:10.32917/hmj/1206127716

Mathematical Reviews number (MathSciNet)
MR1336904

Zentralblatt MATH identifier
0921.57007

Subjects
Primary: 57N13: Topology of $E^4$ , $4$-manifolds [See also 14Jxx, 32Jxx]

#### Citation

Matumoto, Takao; Katanaga, Atsuko. On 4-dimensional closed manifolds with free fundamental groups. Hiroshima Math. J. 25 (1995), no. 2, 367--370. doi:10.32917/hmj/1206127716. https://projecteuclid.org/euclid.hmj/1206127716

#### References

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• [3] A. Kawauchi, Splitting a 4-manifold with infinite cyclic fundamental group, Osaka J. Math., 31 (1994), 489-495.
• [4] R. C. Kirby and L. C. Siebenmann, Foundational Essays on Topological manifolds, Smoothings and Triangulations, Ann. Math. Studies 88, Princeton Univ. Press,1977.
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• [8] F. Quinn, Ends of maps III: Dimensions 4 and 5, J. Differential Geom., 17 (1982), 503-521.
• [9] J. H. C. Whitehead, On simply connected 4-dimensional polyhedra, Comment. Math. Helv., 22 (1949), 48-92.