ENDS OF COMPLEXES

By Y. JOIRY

CONTENTS PART ONE TOPOLOGY AT IN?NITY END SPACES LIMITS HOMOLOGY AT IN?NITY CELLULAR HOMOLOGY HOMOLOGY OF COVERS PROJECTIVE CLASS AND TORSION FORWARD TAMENESS REVERSE TAMENESS HOMOTOPY AT IN?NITY PROJECTIVE CLASS AT IN?NITY IN?NITE TORSION FORWARD TAMENESS IS A HOMOTOPY PUSHOUT PART TWO TOPOLOGY OVER THE REAL LINE IN?NITE CYCLIC COVERS THE MAPPING TORUS GEOMETRIC RIBBONS AND BANDS APPROXIMATE ?BRATIONS GEOMETRIC WRAPPING UP GEOMETRIC RELAXATION HOMOTOPY THEORETIC TWIST GLUEING HOMOTOPY THEORETIC WRAPPING UP AND RELAXATION PART THREE THE ALGEBRAIC THEORY POLYNOMIAL EXTENSIONS ALGEBRAIC BANDS ALGEBRAIC TAMENESS RELAXATION TECHNIQUES ALGEBRAIC RIBBONS ALGEBRAIC TWIST GLUEING WRAPPING UP IN ALGEBRAIC K- AND L-THEORY REFERENCES