1. Find the interior and boundary of the following sets: a] A= {1-:n€ N} %3D b] N c] Q d] Úb, 1-] n-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)
Transcribed Image Text:Math43035ec)_4Homewcrl: - Frotected Vie - Saved to this PC - Design Layout References Mailings Review View Help m the Internet can contain viruses. Unless you need to edit, it's safer to stay in Protected View. 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)
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