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Feb
4
comment Proof of Riesz–Markov–Kakutani representation theorem in big Rudin
@DanielFischer I am also quite confused about the first definition. If $\mu_1(V)$ is $\infty$, then it is impossible that $\mu_1(V)\leq Lf+\epsilon$ according to the definition of supremum
Feb
4
revised Proof of Riesz–Markov–Kakutani representation theorem in big Rudin
edited body
Feb
4
asked Proof of Riesz–Markov–Kakutani representation theorem in big Rudin
Jan
31
revised Rudin's definition on measurable function
added 92 characters in body
Jan
31
asked Rudin's definition on measurable function
Jan
30
revised One point compactification without locally compactness
added 8 characters in body
Jan
30
asked One point compactification without locally compactness
Jan
28
accepted Calculus of variation for geodesic
Jan
28
asked Calculus of variation for geodesic
Jan
26
comment No subsequence converges when sequence has limit point in topological space
I see, thanks a lot
Jan
26
comment No subsequence converges when sequence has limit point in topological space
@BrianM.Scott thanks a lot, the reason why I ask this question is because I want to understand why compactness doesn't imply sequentially compact. Obviously, when the space is compact, then the sequence has a cluster point.
Jan
26
asked No subsequence converges when sequence has limit point in topological space
Jan
24
comment Cluster point vs limit point in net
@HennoBrandsma I see what u mean since net is just a tool thanks
Jan
24
comment Cluster point vs limit point in net
@HennoBrandsma I mean limit point $a$ of a net is that for every neighborhood of $a$ there exists point of net in it.
Jan
24
revised Cluster point vs limit point in net
added 20 characters in body
Jan
24
comment Cluster point vs limit point in net
@DanielFischer thanks
Jan
24
revised Cluster point vs limit point in net
deleted 120 characters in body
Jan
24
revised Cluster point vs limit point in net
added 215 characters in body
Jan
24
revised Cluster point vs limit point in net
added 215 characters in body
Jan
24
asked Cluster point vs limit point in net