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A Concise Course In Algebraic Topology (Chicago Lectures In Mathematics),New Kristal Such As The 'Transitional Object'Algebraic Topology Is A Basic Part Of Modern Mathematics, And Some Knowledge Of This Area Is Indispensable For Any Advanced Work Relating To Geometry, Including Topology Itself, Differential Geometry, Algebraic Geometry, And Lie Groups. This Book Provides A Detailed Treatment Of Algebraic Topology Both For Teachers Of The Subject And For Advanced Graduate Students In Mathematics Either Specializing In This Area Or Continuing On To Other Fields. J.