Contents Preface Invited Survey Article Lusternik-Schnirelmann Category in Homotopy Theory PETER HILTON Contributed Articles The A-category and A-cone length of a map vii 1 MARTIN ARKOWITZ, DONALD STANLEY, AND JEFFREY STROM 15 Equivariant LS-category for finite group actions HELLEN COLMAN 35 Tangential LS category and cohomology for foliations HELLEN COLMAN AND STEVEN HURDER 41 Spaces in the Mislin genus of a finite, simply connected co-H0-space M. CRISTINA COSTOYA-RAMOS 65 Approximations to the .F-killing length of a space M. CUVILLIEZ ANDY. FELIX 73 Pseudo-comultiplications, their Hopf-type invariant and Lusternik- Schnirelmann category of conic spaces GIORA DULA 79 Lusternik-Schnirelman theory and dynamics MICHAEL FARBER 95 The Lusternik-Schnirelmann theorem for the ball category CAIUS GAVRILA 113 The Lusternik-Schnirelmann category of spaces in the Mislin genus of Sp(3) PIERRE GHIENNE 121 A p-complete version of the Ganea conjecture for co-R-spaces J. R. HUBBUCK AND NORIO lWASE 127 The rational Toomer invariant and certain elliptic spaces GREGORY LUPTON 135 v
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