## Surgery in dimension four and noncompact $5$-manifolds

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- by Daniel S. Silver PDF
- Trans. Amer. Math. Soc.
**288**(1985), 43-50 Request permission

## Abstract:

This paper describes a precise relationship between the problems of completing surgery in dimension four and finding boundaries for noncompact $5$-manifolds.## References

- Sylvain E. Cappell and Julius L. Shaneson,
*On four dimensional surgery and applications*, Comment. Math. Helv.**46**(1971), 500–528. MR**301750**, DOI 10.1007/BF02566862 - Francis X. Connolly,
*Linking numbers and surgery*, Topology**12**(1973), 389–409. MR**334245**, DOI 10.1016/0040-9383(73)90031-1 - S. K. Donaldson,
*Self-dual connections and the topology of smooth $4$-manifolds*, Bull. Amer. Math. Soc. (N.S.)**8**(1983), no. 1, 81–83. MR**682827**, DOI 10.1090/S0273-0979-1983-15090-5 - Michael Hartley Freedman,
*The topology of four-dimensional manifolds*, J. Differential Geometry**17**(1982), no. 3, 357–453. MR**679066** - Michael Freedman and Frank Quinn,
*Slightly singular $4$-manifolds*, Topology**20**(1981), no. 2, 161–173. MR**605655**, DOI 10.1016/0040-9383(81)90035-5 - John Milnor,
*Lectures on the $h$-cobordism theorem*, Princeton University Press, Princeton, N.J., 1965. Notes by L. Siebenmann and J. Sondow. MR**0190942** - Frank Quinn,
*The stable topology of $4$-manifolds*, Topology Appl.**15**(1983), no. 1, 71–77. MR**676968**, DOI 10.1016/0166-8641(83)90049-4 - John Milnor,
*Lectures on the $h$-cobordism theorem*, Princeton University Press, Princeton, N.J., 1965. Notes by L. Siebenmann and J. Sondow. MR**0190942** - L. C. Siebenmann,
*On detecting open collars*, Trans. Amer. Math. Soc.**142**(1969), 201–227. MR**246301**, DOI 10.1090/S0002-9947-1969-0246301-9 - Daniel S. Silver,
*Finding stable-boundaries for open five-dimensional manifolds*, Amer. J. Math.**105**(1983), no. 6, 1309–1324. MR**721998**, DOI 10.2307/2374442 - C. T. C. Wall,
*Surgery on compact manifolds*, London Mathematical Society Monographs, No. 1, Academic Press, London-New York, 1970. MR**0431216** - Masayuki Yamasaki,
*Whitney’s trick for three $2$-dimensional homology classes of $4$-manifolds*, Proc. Amer. Math. Soc.**75**(1979), no. 2, 365–371. MR**532167**, DOI 10.1090/S0002-9939-1979-0532167-8

## Additional Information

- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**288**(1985), 43-50 - MSC: Primary 57R65; Secondary 57M99
- DOI: https://doi.org/10.1090/S0002-9947-1985-0773045-6
- MathSciNet review: 773045