# Template:Brookman&Davis&Khan2007

From Manifold Atlas

J. Brookman, J. F. Davis and Q. Khan, *Manifolds homotopy equivalent to *, Math. Ann. **338** (2007), no.4, 947–962. MR2317756 (2009d:57039) Zbl 1129.57029

## [edit] 1 Corrections: Unoriented vs Oriented

There are two typos regarding unoriented vs oriented homeomorphism classes.

- On Line 18 of Page 949, replace with .
- On Line 18 of Page 949, replace with .

Thanks to Stanley Chang for catching them.

## [edit] 2 Corrections: Orientation Character

There are four minor typos regarding orientation character. The errors are contained entirely in the second paragraph of Remark 10 and do not affect the rest of the paper.

- On Line -5 of Page 955, the first term of the exact sequence should have trivial orientation character, .
- On Line -4 of Page 955, the second term of the exact sequence should have non-trivial orientation character, .

Consequently, the unwritten connecting homomorphism becomes , which is used in the first paragraph of the remark.

- On Line 2 of Page 956, replace with .
- On Line 2 of Page 956, replace with .

This notation agrees with the conventions of Wall [Wall1999] and Ranicki [Ranicki1981].

## [edit] 3 References

- [Ranicki1981] A. Ranicki,
*Exact sequences in the algebraic theory of surgery*, Princeton University Press, Princeton, N.J., 1981. MR620795 (82h:57027) Zbl 0471.57012 - [Wall1999] C. T. C. Wall,
*Surgery on compact manifolds*, American Mathematical Society, Providence, RI, 1999. MR1687388 (2000a:57089) Zbl 0935.57003