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Mathematics, Form And Function by Saunders Mac Lane
Contributed by: Cope
  • 1. What is a primary focus of Mac Lane's 'Mathematics, Form and Function'?
A) The interplay between mathematics and its applications
B) Purely abstract mathematical theories
C) Historical perspectives on mathematics
D) Mathematical competitions
  • 2. Which mathematical structure is emphasized in Mac Lane's book?
A) Category theory
B) Geometric topology
C) Number theory
D) Linear algebra
  • 3. What is the significance of 'functors' in category theory?
A) They define groups.
B) They create topological spaces.
C) They represent numerical sequences.
D) They map between categories.
  • 4. What does 'exactness' refer to in the context of a sequence of morphisms?
A) Creating redundant transformations.
B) Limiting the sequence size.
C) Preserving the image and kernel relationship.
D) Losing all information.
  • 5. What does 'natural transformation' signify in category theory?
A) A geometric representation.
B) A type of numerical transformation.
C) A method for defining limits.
D) A way of transforming one functor into another.
  • 6. What is 'adjoint functor'?
A) A type of algebraic structure.
B) A pair of functors that are related by a natural transformation.
C) A functor with no transformations.
D) A function defined only in topology.
  • 7. What does the term 'coproduct' refer to in category theory?
A) A polynomial expression.
B) A generalization of the disjoint union.
C) A metric space property.
D) A specific function type.
  • 8. The concept of 'isomorphism' in category theory implies what?
A) Structural similarity between two objects.
B) Number disparity.
C) Difference in function.
D) Dimensional inconsistency.
  • 9. What kind of algebra is discussed in connection with category theory?
A) Linear algebra
B) Boolean algebra
C) Elementary algebra
D) Abstract algebra
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