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2d
asked Can the sum of two measurable functions be non-measurable if they are valued in a general normed space instead of $ \mathbb{R} $?
May
6
accepted Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
May
2
revised Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
added 47 characters in body
May
2
comment Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
I've added my rough proof to the question. Unless I've missed something, it should be complete.
May
2
revised Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
added 1083 characters in body
May
1
comment Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
Perhaps we can make it true by requiring both spaces to be Hausdorff? It would eliminate some of those very uncomfortable spaces, like the ones in your example.
May
1
revised Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
added 248 characters in body
Apr
30
asked Preserving compactness and connectedness implies continuity for functions between locally connected, locally compact spaces?
Apr
17
asked Is an everywhere differentiable function locally Lipschitz?
Mar
28
comment Generalising Riemann integral to functions with values in a Banach space
I'm aware that it's usually much better to use the Lebesgue integral, but in this case I'm specifically interested in generalising the Riemann integral.
Mar
28
asked Generalising Riemann integral to functions with values in a Banach space
Mar
22
comment Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Thank you for the answer. Could you also give me a reference where I could find more about this theorem, preferably with a proof?
Mar
22
accepted Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Mar
22
revised Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
added 27 characters in body
Mar
22
comment Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
My mistake, I was typing in a hurry and incorrectly called f a homeomorphin between X and V, instead of X and f(X)
Mar
22
asked Can every (Hausdorf) topological space be homeomorphically embedded in a topological vector space?
Mar
22
accepted Are all compact subsets of a topological vector space bounded?
Mar
22
comment Are all compact subsets of a topological vector space bounded?
I've edited my question to clarify what I mean by boundedness. This is a notion independent of the metric on the vector space, even if such a metric exists.
Mar
22
revised Are all compact subsets of a topological vector space bounded?
added 235 characters in body
Mar
22
asked Are all compact subsets of a topological vector space bounded?