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New posts in separable-spaces
Space $\mathcal{L}^p(X, \Sigma, \mu)$ is separable iff $(\Sigma, \rho_\Delta)$ is separable
functional-analysis
measure-theory
lebesgue-integral
lp-spaces
separable-spaces
What are the requirements for separability inheritance
general-topology
reference-request
examples-counterexamples
separable-spaces
Two questions on Munkres -Topology: product and subspace of separable spaces
general-topology
solution-verification
product-space
separable-spaces
Continuous image of separable space
general-topology
separable-spaces
Give an example of a non-separable subspace of a separable space
general-topology
examples-counterexamples
separable-spaces
Can a countable dense subset be split into two disjoint dense subsets?
general-topology
compactness
connectedness
separable-spaces
continuum-theory
How to prove that if a normed space has Schauder basis, then it is separable? What about the converse?
functional-analysis
normed-spaces
separable-spaces
schauder-basis
Why is $l^\infty$ not separable?
real-analysis
functional-analysis
metric-spaces
lp-spaces
separable-spaces
When is $C_0(X)$ separable?
general-topology
functional-analysis
separation-axioms
second-countable
separable-spaces
Prove that $X^\ast$ separable implies $X$ separable
functional-analysis
banach-spaces
dual-spaces
separable-spaces
Prove if $X$ is a compact metric space, then $X$ is separable.
metric-spaces
compactness
separable-spaces
Why does this inequality imply non-separability?
real-analysis
functional-analysis
operator-theory
separable-spaces
Why is $L^{\infty}$ not separable?
real-analysis
functional-analysis
normed-spaces
lp-spaces
separable-spaces
On the product of $\mathfrak c$-many separable spaces
general-topology
product-space
separable-spaces
On showing that every separable metric space has a countable base
real-analysis
general-topology
metric-spaces
separable-spaces
second-countable
Every separable metric space has a countable base
general-topology
metric-spaces
solution-verification
separable-spaces
second-countable
Is a separable and metrizable space second countable?
general-topology
metric-spaces
second-countable
separable-spaces
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