Contents
Abstracts of Australasian PhD theses
Some new function spaces and their tensor products
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. 147-149
-
- Article
-
- You have access
- Export citation
Sequential algorithms in nonlinear programming
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. 151-153
-
- Article
-
- You have access
- Export citation
Liapunov theory applied to control, games, and boundedness of generalized dynamical systems
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. 155-156
-
- Article
-
- You have access
- Export citation
Addendum
Duality in topological algebra: Addendum
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. 157-158
-
- Article
-
- You have access
- Export citation
-
It has been observed by Banaschewski [1], Proposition 1, that, in the notation of the author's paper [2],
if P ⊆ FU is hereditary and finitely productive. This fact does not require the use of injectives as in [2].
if P ⊆ Corrigendum
New proofs of some theorems on infinitely differentiable functions: Corrigenda
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. 159-160
-
- Article
-
- You have access
- Export citation
-
In a recent note [1], Arkeryd presents a counterexample to my conjecture [2]. The same example appears in a preprint by von Grudzinski [3], who also points out that the corollary to Theorem 2 does not follow from the proof of the theorem as stated. The fact that x3 + xy3 and x3 + xy3y3 are right equivalent, but not under quasi-identity, provides a counterexample. The proof on p. 170 of [2] that
is also incorrect. In order to establish this result, we note that, from equation (31), it suffices to show that ξ(0, t) = 0 for all t. But, from equation (30), f(ξ(0, t)) = 0. If now 0 is an isolated zero of f, we are done. If not, we may assume ξ(0, t) = 0 without loss of generality. The corollary to Theorem 4 shows that this latter case is, in fact, vacuous.
is also incorrect. In order to establish this result, we note that, from equation (31), it suffices to show that ξ(0, Front matter
BAZ volume 19 issue 1 Cover and Front matter
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. f1-f2
-
- Article
-
- You have access
- Export citation
Back matter
BAZ volume 19 issue 1 Cover and Back matter
-
- Published online by Cambridge University Press:
- 17 April 2009, pp. b1-b2
-
- Article
-
- You have access
- Export citation