Formations and chain complexes II (Ex)
From Manifold Atlas
Definition 0.1 [Ranicki1980, Proposition 4.6] . An n-dimensional -symmetric/-quadratic complex / is called well-connected if .
Exercise 0.2. Show that a boundary of a well-connected -dimensional symmetric/quadratic complex gives a boundary formation.
See section 2 of [Ranicki1980]
[edit] References
- [Ranicki1980] A. Ranicki, The algebraic theory of surgery. I. Foundations, Proc. London Math. Soc. (3) 40 (1980), no.1, 87–192. MR560997 (82f:57024a) Zbl 0471.57012