Crossword

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Across
  1. 1. Continuous bijection with continuous inverse
  2. 5. Algebraic structure with two binary operations
  3. 6. Property that every open cover has a finite subcover
  4. 10. Property of a space that cannot be split into two disjoint open sets
  5. 12. Function complex differentiable in a region
  6. 16. Theorem stating closed and bounded subsets of Rn are compact
  7. 17. Sequence whose terms become arbitrarily close
  8. 18. Theorem stating order of subgroup divides order of group
  9. 19. Structure preserving map between algebraic structures
  10. 20. Second order differential operator
Down
  1. 2. Scalar associated with a linear transformation
  2. 3. Function satisfying Laplace equation
  3. 4. Determinant used to test linear independence of solutions
  4. 7. Property of approaching a limit
  5. 8. Coefficient of one over z term in Laurent series
  6. 9. Lemma separating two disjoint closed sets in a normal space
  7. 11. Subgroup invariant under conjugation
  8. 13. Set equipped with a distance function
  9. 14. Theorem about extending continuous functions on closed sets
  10. 15. Process of converting matrix to diagonal form