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Chain conditions in free products of lattices with infinitary ... - MSP

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Pacific Journal <strong>of</strong> Mathematics<br />

Vol. 83, No. 1 March, 1979<br />

Richard Neal Ball, Topological lattice-ordered groups . . . . . . . . . . . . . . . . . . . . 1<br />

Stephen Berman, On the low-dimensional cohomology <strong>of</strong> some<br />

<strong>in</strong>f<strong>in</strong>ite-dimensional simple Lie algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27<br />

R. P. Boas and Gerald Thomas Cargo, Level sets <strong>of</strong> derivatives . . . . . . . . . . . . 37<br />

James K. Deveney and John Nelson Mordeson, Splitt<strong>in</strong>g and modularly<br />

perfect fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45<br />

Robert Hugh Gilman and Ronald Mark Solomon, F<strong>in</strong>ite groups <strong>with</strong> small<br />

unbalanc<strong>in</strong>g 2-components . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55<br />

George Grätzer, Andras Hajnal and David C. Kelly, <strong>Cha<strong>in</strong></strong> <strong>conditions</strong> <strong>in</strong> <strong>free</strong><br />

<strong>products</strong> <strong>of</strong> <strong>lattices</strong> <strong>with</strong> <strong>in</strong>f<strong>in</strong>itary operations. . . . . . . . . . . . . . . . . . . . . . . . 107<br />

Benjam<strong>in</strong> Rigler Halpern, Periodic po<strong>in</strong>ts on tori . . . . . . . . . . . . . . . . . . . . . . . . 117<br />

Dean G. H<strong>of</strong>fman and David Anthony Klarner, Sets <strong>of</strong> <strong>in</strong>tegers closed under<br />

aff<strong>in</strong>e operators—the f<strong>in</strong>ite basis theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . 135<br />

Rudolf-Eberhard H<strong>of</strong>fmann, On the sobrification rema<strong>in</strong>der s X − X . . . . . . . 145<br />

Gerald William Johnson and David Lee Skoug, Scale-<strong>in</strong>variant<br />

measurability <strong>in</strong> Wiener space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 157<br />

Michael Keisler, Integral representation for elements <strong>of</strong> the dual <strong>of</strong><br />

ba(S, ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177<br />

Wayne C. Bell and Michael Keisler, A characterization <strong>of</strong> the representable<br />

Lebesgue decomposition projections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185<br />

Wadi Mahfoud, Comparison theorems for delay differential equations. . . . . . 187<br />

R. Daniel Mauld<strong>in</strong>, The set <strong>of</strong> cont<strong>in</strong>uous nowhere differentiable<br />

functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199<br />

Robert Wilmer Miller and Mark Lawrence Teply, The descend<strong>in</strong>g cha<strong>in</strong><br />

condition relative to a torsion theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207<br />

Yoshiomi Nakagami and Col<strong>in</strong> Eric Sutherland, Takesaki’s duality for<br />

regular extensions <strong>of</strong> von Neumann algebras . . . . . . . . . . . . . . . . . . . . . . . . 221<br />

William Otis Nowell, Tubular neighborhoods <strong>of</strong> Hilbert cube manifolds . . . . 231<br />

Mohan S. Putcha, Generalization <strong>of</strong> Lent<strong>in</strong>’s theory <strong>of</strong> pr<strong>in</strong>cipal solutions <strong>of</strong><br />

word equations <strong>in</strong> <strong>free</strong> semigroups to <strong>free</strong> product <strong>of</strong> copies <strong>of</strong> positive<br />

reals under addition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 253<br />

Amitai Regev, A primeness property for central polynomials . . . . . . . . . . . . . . 269<br />

Saburou Saitoh, The Rud<strong>in</strong> kernels on an arbitrary doma<strong>in</strong>. . . . . . . . . . . . . . . . 273<br />

He<strong>in</strong>rich Ste<strong>in</strong>le<strong>in</strong>, Some abstract generalizations <strong>of</strong> the<br />

Ljusternik-Schnirelmann-Borsuk cover<strong>in</strong>g theorem . . . . . . . . . . . . . . . . . . 285

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