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In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications . The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to graduate students.

Algebraic Topology and Its Applications

Proper Homotopy Theory and Transfers for Infinite Groups.- The Homotopy Type of Gauge Theoretic Moduli Spaces.- A Survey of Bounded Surgery Theory and Applications.- Homotopy Theory of Classifying Spaces of Compact Lie Groups.- Morita Equivalence, GLn(Fq)-Modules, and the Steenrod Algebra.- Segal's Burnside Ring Conjecture for Compact Lie Groups.- On the Lichtenbaum-Quillen Conjectures from a Stable Homotopy-Theoretic Viewpoint.- Manifolds of Positive Scalar Curvature.