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Volume 18 - June 1978

Contents

Page 3 of 4

Abstracts of Australasian PhD theses

  • Degree of approximation theorems for approximation with side conditions

  • R.K. Beatson
  • Published online by Cambridge University Press:
    17 April 2009, p. 297
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Research Article

  • On characterisation of finitary algebraic categories

  • Francis Borceux, B.J. Day
  • Published online by Cambridge University Press:
    17 April 2009, pp. 125-135
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  • The aim of this article is to characterise categories which are V–algebraic (equals V–theoretical) over V where V is a symmetric monoidal closed category satisfying suitable limit-colimit commutativity conditions (basicly axiom π).

  • On doubly transitive permutation groups

  • Cheryl E. Praeger
  • Published online by Cambridge University Press:
    17 April 2009, pp. 465-473
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  • Suppose that G is a doubly transitive permutation group on a finite set Ω and that for α in ω the stabilizer Gα of αhas a set σ = {B1, …, Bt} of nontrivial blocks of imprimitivity in Ω – {α}. If Gα is 3-transitive on σ it is shown that either G is a collineation group of a desarguesian projective or affine plane or no nonidentity element of Gα fixes B pointwise.

  • An analogue of Banach's contraction principle for 2-metric spaces

  • S.N. Lal, A.K. Singh
  • Published online by Cambridge University Press:
    17 April 2009, pp. 137-143
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  • In this paper we establish a fixed point theorem for 2-metric spaces. Some interesting particular cases of this theorem are also obtained.

Abstracts of Australasian PhD theses

  • Some techniques of harmonic analysis on compact Lie groups with applications to lacunarity

  • Anthony Haynes Dooley
  • Published online by Cambridge University Press:
    17 April 2009, pp. 299-301
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  • On multifunctions and multimeasures

  • Le Van Tu
  • Published online by Cambridge University Press:
    17 April 2009, pp. 145-146
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Research Article

  • Duality in topological algebra

  • B.J. Day
  • Published online by Cambridge University Press:
    17 April 2009, pp. 475-480
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  • Aspects of duality relating to compact totally disconnected universal algebras are considered. It is shown that if P is a ““basic“ set of injectives in a variety of compact totally disconnected algebras then the category P of P-copresentable objects is in duality with the class of all G-copresentable algebras on P, where G: P → Ens is the forgetful functor and an algebra is taken to mean a finite-product-preserving functor from P to Ens.

Abstracts of Australasian PhD theses

  • Differentiable manifolds modelled on locally convex spaces

  • Truong Công Nghê
  • Published online by Cambridge University Press:
    17 April 2009, pp. 303-304
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Front matter

  • BAZ volume 18 issue 3 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f6
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Abstracts of Australasian PhD theses

  • Maximal quotient rings of prime nonsingular group algebras

  • John Hannah
  • Published online by Cambridge University Press:
    17 April 2009, pp. 305-306
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  • Analytic extension of riemannian manifolds

  • Geoffrey Howard Smith
  • Published online by Cambridge University Press:
    17 April 2009, pp. 147-148
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Back matter

  • BAZ volume 18 issue 3 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian PhD theses

  • Lacunary sets for connected and totally disconnected compact groups

  • Michael Frank Hutchinson
  • Published online by Cambridge University Press:
    17 April 2009, pp. 149-151
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  • Radiation losses in dielectric optical waveguides

  • Ian Arthur White
  • Published online by Cambridge University Press:
    17 April 2009, pp. 307-309
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  • Tight Riesz orders via congruences

  • Elizabeth A.S. Loci
  • Published online by Cambridge University Press:
    17 April 2009, pp. 153-154
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Corrigendum

  • Martingale central limit theorems without uniform asymptotic negligibility: Corrigendum

  • R.J. Adler, D.J. Scott
  • Published online by Cambridge University Press:
    17 April 2009, pp. 311-319
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  • The following is a correct proof of the main theorem of [1]. It should be substituted for the published Section 3, which, as pointed out by Professor B.L.S. Prakasa Rao, contains an error in the equations following (15) on page 49.

Abstracts of Australasian PhD theses

  • Some topics in the theory of ring structures on abelian groups

  • David R. Jackett
  • Published online by Cambridge University Press:
    17 April 2009, pp. 155-156
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Front matter

  • BAZ volume 18 issue 2 Cover and Front matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. f1-f2
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Back matter

  • BAZ volume 18 issue 2 Cover and Back matter

  • Published online by Cambridge University Press:
    17 April 2009, pp. b1-b2
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Abstracts of Australasian PhD theses

  • On the existence of orthogonal designs

  • Peter Eades
  • Published online by Cambridge University Press:
    17 April 2009, pp. 157-158
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Page 3 of 4