MATHS CROSS PUZZLE

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Across
  1. 4. number n in which n! can be written as sum on integers upto n-1!
  2. 6. an injective homomorphism between two algebraic systems of same type
  3. 9. portion of a circle bounded by two radii and an arc joining end points
  4. 10. quadrilateral where no sides are parallel
  5. 11. topological space in which every open cover has countable subcover
Down
  1. 1. transformation on a linear space to itself which is sum of a linear transformation and a fixed vector
  2. 2. points in the closure of the set but not in its interior
  3. 3. group of isomorphisms of a particular field extension associated with a polynomial roots
  4. 5. horizontal coordinate
  5. 7. theorem that any positive integer can be expressed as a sum of distinct fibonacci numbers, no two of which are consecutive
  6. 8. set of real numbers such that the difference of any two members is irrational and any real number is sum of a rational number and member of that set
  7. 12. a homeomorphism of one topological space to a subspace of another topological space