TEST BANK FOR An Introduction to Category Theory By Harold Simmons [Solution Manual] Converted
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Exam (elaborations) TEST BANK FOR An Introduction to Category Theory By Harold Simmons [Solution Manual]-Converted
- Exam (elaborations) • 173 pages • 2021
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1.1 Categories defined 
1.1.1 Not needed? 
1.1.2 These examples are dealt with in Section 1.5. 
1.2 Categories of structured sets 
1.2.1 (c) Consider the function 
f(r) = r(a) 
which sends each r 2 N to the rth iterate of applied to a. A simple calculation shows this is 
a Pno-arrow. A proof by induction shows this is the only possible arrow. 
1.2.2 Consider a pair 
(A;X) 
f - (B; Y ) 
g - (C;Z) 
of such morphisms. We show the function composite g f is also a morphism, that is 
x 2 X ...
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