INDEXPAGE

Banaschewski , B. & Bhutani , K. R. Boolean algebras in a localic topos . . . . 43

Ben-Israel, A . Generalized inverses of mat r ices : a perspect ive of the work of Penrose . 407

Bernau, S. J. Addi t iv i ty a n d superaddi t iv i ty in i p - s p a c e s 133

Bhutani , K. R. & Banaschewski , B. Boolean algebras in a localic topos . . . . 43

Brownawel l , W. D . & Masser, D . W. Vanishing sums in function fields . . . . 427

Bruce, J. W. Envelopes and characterist ics 475

Cassels, J . W . S. Mordell 's finite basis theorem revisited 31

Chetwynd, A . G. & Hi l ton, A . J. W. S ta r mul t ig raphs wi th three vertices of m a x i m u m

degree 303

Cordier, J . -M. & Porter, T. Vogt ' s theorem on categories of homotopy coherent d iagrams 65

El ias , J . On the analy t ic equivalence of curves . . . . . . . . . 57

Evertse, J. H . & Silverman, J. H . Uniform bounds for the number of solutions t o

Yn=f(x) 237

Falconer , K . J. R a n d o m fractals 559

Flapan, E. A pr ime strongly posit ive amphicheiral k n o t which is no t slice . . . 533

Friedlander, E. M . & Misl in , G. Locally finite approximat ion of Lie groups I I . . 505

Gersten, S. M . & H o w i e , J . Counterexamples to a conjecture ab o u t spherical d iagrams . 539

Ghahramani , F . & Medgalchi , A . R. Compact mult ipl iers on weighted hypergroup

algebras I I . . . . . . . . . . . . . . . 145

G i b b o n , G. In tersect ion proper t ies of functions on cardinals . . . . . . 265

G o d w i n , H . J. Expl ic i t expressions for S turm sequences . . . . . . . 225

Gopalsamy, K. On the global a t t r ac t iv i ty in a generalized delay-logistic differential

equat ion . . . . . . . . . . . . . . . 183

Hall , R. R. On some theorems of Hurwi tz and Sheil-Small . . . . . . 365

Hildebrand, A . Multiplicative functions a t consecutive integers 229

Hil ton , A. J. W. & Chetwynd, A . G. S ta r mul t ig raphs wi th three vertices of m a x i m u m

degree 303

H o w i e , J. & Gersten, S. M . Counterexamples to a conjecture abou t spherical d iagrams • 539

Isbell, J. General function spaces, p roduc ts and cont inuous latt ices . . . . . 193

Janeczko, S. Generat ing families for images of Lagrangian submanifolds and open

swallowtails . . . . . . . . . . . . . . 91

Janson, S. R a n d o m trees in a graph and trees in a r andom graph . . . . . 3 1 9

Jefferies, B. Egorov measurabi l i ty and generator cores . . . . . . . 1 3 7

Johnson, F . E. A . A class of non-Kahler ian manifolds 519

Jupp, P. E. Character izat ion of ma t r ix probabi l i ty d is t r ibut ions by mean residual lifetime 583

Kassem, S. E . W a v e source potent ia ls for two superposed fluids, each of finite dep th • 595

Katz, E . , Morris , S. A . & N icko las , P. F ree subgroups of free abelian topological groups 347

Landweber, P. S. A survey of bordism and cobordism 207

Leinen, F . & Phillips, R. E. Exis tent ia l ly closed central extensions of locally finite

p-groups 281

Lickorish, W . B. R. A relat ionship between link polynomials . . . . . . 109

Lines, D . On even-dimensional fibred knots obta ined b y p lumbing . . . . . 1 1 7

Lipson, A. S. An evaluat ion of a link polynomial . . . . . . . . 361M a d d o x , J. J. Sequence spaces defined by a modulus . . . . . . . 161

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iv IndexMasser, D . W. & Brownawell, W. D . Vanishing sums in function fields . . . . 427

Medgalchi, A. R. & Ghahramani, F. Compact multipliers on weighted hypergroupalgebras I I 145

Millett, K. & Rolfsen, D . A theorem of Borsuk-Ulam type for Seifert-fibred 3-manifolds 423

Mislin, G. & Friedlander, E. M. Locally finite approximation of Lie groups I I . . 505

Morris, S. A., Katz, E. & Nickolas, P. Free subgroups of free abelian topological groups 347

Nestoridis, V. Averages of holomorphic mappings 371

Nickolas, P., Morris, S. A. & Katz, E. Free subgroups of free abelian topological groups 347

Palka, Z. Some remarks about extreme degrees in a random graph . . . . . 167

Pascual-Gainz, A. P. On the simple object associated to a diagram in a closed modelcategory . . . . . . . . . . . . . . . 459

Patterson, S. J. Tori in metaplectic covers of GL2 and applications to a formula ofLoxton-Matthews . . . . . . . . . . . . . 249

Phillips, R. E. & Leinen, F. Existentially closed central extensions of locally finitep-groups . . . . . . . . . . . . . . . 281

Pinch, R. G. E. Elliptic curves with good reduction away from 2: II . . . . 435

Porter, D . The reduction of a pair of singular integral equations 175

Porter, T. & Cordier, J.-M. Vogt's theorem on categories of homotopy coherent diagrams 65

Rankin, R. A. Fourier coefficients of cusp forms 5

Rhoades, B. E. Matrix summability of Fourier series based on inclusion theorems . . 545

Rolfsen, D . & Millett, K. A theorem of Borsuk-Ulam type for Seifert-fibred 3-manifolds 523

Silverman, J. H. & Evertse, J. H. Uniform bounds for the number of solutions to

Y" = f(x) 237

Soft, M . A . Some cri ter ia for nuc lear i ty . . . . . . . . . . 151

Szi ics , A . Mult iple po in t s of s ingular m a p s . . . . . . . . . 3 3 1

T a y l o r , S. J. T h e measure theo ry of r a n d o m fractals . . . . . . . . 383

T o l a n d , J. F . A necessary geometr ic condition for the existence of certain homoclinic

o rb i t s 591

Trace , B . A no t e concerning Seifert manifolds for 2-knots 113

W u , Y . - Q . On the Arf i nva r i an t of l inks 355

Y i u , P . Y . H . Quadra t i c forms between spheres and the non-existence of sums of squaresformulae 493

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Mathematical Proceedings of the Cambridge Philosophical Society

M P C P C O ioo (Pt 3) 383-605 (1986) 0305-0041 November 1986

CONTENTS P A O E

T A Y L O R , S. J A M E S . The measure theory of random fractals 383B E N - I S R A E L , A. Generalized inverses of matrices: a perspective of the work of Penrose 407B R O W N A W E L L . W. D . & M A S S E R . D . W. Vanishing sums in function fields. 427P I N C H . R. G . E. Elliptic curves with good reduction away from 2: II . . . . . 435P A S C U A L - G A I N Z A , P E R E . On the simple object associated to a diagram in a closed model

category . . . . . . . 459B R U C E , J. W. Envelopes and characteristics . . . . . . . . 475Yiu, P A U L Y. H . Quadratic forms between spheres and the non-existence of sums of squares

formulae . . . . . . . . . . . . . . . 493FKIKDI.ANDKK. E R I C M. & M I S L I N . G U I D O . Locally finite approximation of Lie groups. Ill 505J O H N S O N . F. E. A. A class of non-Kahlerian manifolds 519M I L L E T T , K E N N E T H & R O L F S E N , D A L E . A theorem of Borsuk-L'lam type for Seifert-fibred

3 manifolds 523F L A P A N . E R I C A . A prime strongly positive amphicheiral knot which is not slice. 533G E R S T E N , S. M. & H O W I E . J A M E S . Counterexamples to a conjecture about spherical

diagrams 539R H O A D E S . B. E. Matrix summability of Fourier series based on inclusion theorems 545F A L C O N E R , K . J . Random fractals . . . . . . . . . . . 559J l ' P P . P. E. Characterization of matrix probability distributions by mean residual lifetime 583T O L A N I ) . J . F. A necessary geometric condition for the existence of certain homoelinic

orbits 591K A S S E M , S. E. Wave source potentials for two superposed fluids, each of finite depth 595P R O C E E D I N G S 1985-86 . 6 0 1

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