Mathematicians crossword

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Across
  1. 1. Gives name to a periodicity property
  2. 3. Certain type of orthogonal polynomials
  3. 5. Gave a rule for inverting conditional probabilities
  4. 7. Analyzed singularities of ODEs
  5. 11. Gives name to isometries of Riemannian spaces
  6. 15. Axiomatized probability theory
  7. 16. Pioneer in set theory
  8. 18. Name of mathematician and writer J. Taine
  9. 19. Famous topologist
  10. 20. Author of famous catalogue on differential equations
Down
  1. 2. Polish logician
  2. 4. Pioneer in group theory
  3. 5. Expert in measure theory
  4. 6. French geometer of the XIX Century
  5. 8. Gives name to the characteristic of polyhedra
  6. 9. Gives name to a transformation in integral geometry
  7. 10. Famous number theorist
  8. 12. Pioneer on logarithms
  9. 13. Introduced continuous groups of transformations
  10. 14. Founder of sequential analysis
  11. 15. Creator of Erlangen's program
  12. 17. Famous for catastrophe theory
  13. 18. Shares an important theorem with S. Ulam