*Frontmatter, pg. i*PREFACE, pg. vii*CONTENTS, pg. ix* 1. INTRODUCTION, pg. 1* 2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS, pg. 9* 3. THE CURVE SELECTION LEMMA, pg. 25* 4. THE FIBRATION THEOREM, pg. 33* 5. THE TOPOLOGY OF THE FIBERAND OF K, pg. 45* 6. THE CASE OF AN ISOLATED CRITICAL POINT, pg. 55* 7. THE MIDDLE BETTI NUMBER OF THE FIBER, pg. 59* 8. IS K A TOPOLOGICAL SPHERE ?, pg. 65* 9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS, pg. 71* 10. THE CLASSICAL CASE: CURVES IN C2, pg. 81* 11. A FIBRATION THEOREM FOR REAL SINGULARITIES, pg. 97*APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS, pg. 105*APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS, pg. 111*BIBLIOGRAPHY, pg. 117
