Let I o = and for each n e N* let I n = { 1,2,3,
Question:
Let Io = Ø and for each n e N* let In = { 1,2,3, ... , n}.
(a) In is not equipollent to any of its proper subsets
(b) Im and In are equipollent if and only if m = n.
(c) Im is equipollent to a subset of In but In is not equipollent to any subset of Im if and only if m < n.
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ANSWER a The statement is true To show that In is not equipollent to any of its proper subsets we can use the pigeonhole principle For any proper subs...View the full answer
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Related Book For 
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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