# Errata

of the doctoral thesis:
## "Combinatorics of Constructible Complexes"

by Masahiro Hachimori

- p.13, l.1*
- The definition of stellar subdivision is wrong.

\stellar_C \sigma = (C \star_C \sigma) \cup (\var{p} ***\partial \sigma**
* \link_C \sigma)
- p.116, l.22 (and other places...)
- Brugesser -> Bruggesser
- p.75, l.14, p.76, l.15
- In both places, "b(K) \leq 2p(K)" should be "2b(K) \leq p(K)".

(See the proof of Th.3.36.)

(Last updated on Sep 18, 2000)
- p.85, Prop.4.3
- The `if' part of the proof of Prop.4.3 (II) contains a gap. Currently it is not clear
whether the claim is true or not. (This is pointed out by
B. Benedetti and G.M. Ziegler.)

(Updated on Jan 18, 2010)