An example of continuous bijective map which is not homomorphism
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Answer:
Define f:[0,1)∪[2,3]→[0,2]
f
:
[
0
,
1
)
∪
[
2
,
3
]
→
[
0
,
2
]
by
f(x)={xx−1x∈[0,1)x∈[2,3]
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