1. Find the interior and boundary of the following sets: a] A= {1-:ne N} %3D b] N c] Q d] Ub. 1-] n-1
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Math 4303 Homework Section 3.4 Topology of R
1. Find the interior and boundary of the following sets:
nɛ N}
b] N
c] Q
d] Ub. 1- ]
n-1
e] NE. )
n-1
f1 [0, 1)
2. Classify each set as closed, open, or neither. Justify your answer.
a] A= {1-:n e N}
b] N
c] Q
d] Úb, 1-4]
n-1
e] N-4. 4)
n-1
f] [0, 1)
3. Find a counterexample for the following:
a] bd(ST)= (beS)U(bdT)
b] bd(S I)=(beS)(bdT)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc074fc7e-4e48-46f1-bfc4-aee6ba4e6262%2Fc67e20c6-fae0-4783-affb-a4732004cd3e%2Fsdfv5mh_processed.jpeg&w=3840&q=75)
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