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visits member for 4 years
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Jan
12
comment Converting to partial fractions
I'd like to second that.
Jan
11
comment How to understand the regular cardinal?
According to the examples on Wikipedia the "easiest" example of a regular cardinal are the finite ordinals.
Jan
11
comment Looking for a proof of the completeness of $C^{n}[0,1]$.
@Kyle Glad I could help : )
Jan
10
comment Looking for a proof of the completeness of $C^{n}[0,1]$.
@YemonChoi As for your last sentence in your last comment: I second that.
Jan
10
comment Looking for a proof of the completeness of $C^{n}[0,1]$.
@YemonChoi Yes, that's the uniform limit theorem. : )
Jan
10
comment Looking for a proof of the completeness of $C^{n}[0,1]$.
@YemonChoi The OP was not about $C^1([0,1])$ so this is not a "full" solution. As for general practice: I think a full solution is more helpful than a one liner pretending to be a hint. : )
Jan
10
comment Looking for a proof of the completeness of $C^{n}[0,1]$.
@YemonChoi The $n$-th derivative is continuous and bounded. Where would you use uniform continuity in the proof?
Jan
10
revised Pointwise convergence of a function
added 8 characters in body
Jan
10
revised Looking for a proof of the completeness of $C^{n}[0,1]$.
added 137 characters in body
Jan
10
answered Looking for a proof of the completeness of $C^{n}[0,1]$.
Jan
9
revised Characterisation of compact subsets of Banach spaces
deleted 30 characters in body
Jan
9
revised Characterisation of compact subsets of Banach spaces
deleted 62 characters in body
Jan
9
revised Characterisation of compact subsets of Banach spaces
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Jan
9
revised Characterisation of compact subsets of Banach spaces
Broken argument fixed as discussed with tb.
Jan
9
accepted Surface of genus $g$ does not retract to circle (Hatcher exercise)
Jan
8
revised Characterisation of compact subsets of Banach spaces
deleted 254 characters in body
Jan
8
answered Characterisation of compact subsets of Banach spaces
Jan
8
revised Is the space $C[0,1]$ complete?
Suggestion in comment implemented.
Jan
8
revised Is the space $C[0,1]$ complete?
Proof of uniform limit theorem added.
Jan
8
revised Is the space $C[0,1]$ complete?
Part (iii) added.