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17
What does it mean for something to be strictly less than $\epsilon$ for an arbitrary $\epsilon$?
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16
How to understand what a 'noncommutative space' is
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13
How can someone reject a math result if everything has to be proved?
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11
Does there exists any non trivial linear metric space in which every open ball is not convex?
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11
If $G$ is an abelian group, then inverse of $x$ is equal to $x$?
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10
Do I miss something about a remark about topology in this lecture note?
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10
Is there a metric space such that every Cauchy sequence in it does not converge?
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10
Spivak Calculus. Why is the books proof valid? Is my attempt at a proof valid?
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9
Why does $|A|\le|B|$ imply $|\mathcal{P}(A)|\le|\mathcal{P}(B)|$? (Use elementary notations; for beginners to advanced math)
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9
How to find Isomorphism between groups of order 8
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9
In a metric space is a dense subset of a dense subspace dense in the space itself?
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8
John Conway's proof of Riesz representation theorem
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8
If a sequence is absolutely summable does this imply that the sum of the terms squared is finite.
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7
A question about tensor product of Hilbert spaces and operators
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7
Proof that $\mathbb{R}$ is not countable
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7
How to prove that a sequence is Cauchy
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7
Why does dominated convergence theorem not apply when $f_{n}(x) =1$ for rational $x$ and $f_{n}(x) = 0$ otherwise?
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6
Why is $f(t) = e^{ta}$ differentiable in a unital Banach algebra?
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6
Let $T : V → V$ be linear. If $V$ is finite dimensional, show there's positive integer $k$ such that $T^{ k+1 }$and $T^ k$ have the same kernels.
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6
Intuition for $\{X>0\}=\cup_{n\in\mathbb{N}}\{X\geq\frac1n\}$?
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6
$P_{n}(A)\xrightarrow{n \to \infty} P(A)$ for any $P$-continuity set $A$ iff $F_{n}(x)\xrightarrow{ n \to \infty} F(x)$ for all continuity points
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6
Invertibility of compact operator on infinite dimensional Hilbert space
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6
How to think of functional calculus for C*-algebras
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6
Is the map sends $T$ to $T^*$ adjoint of $T$ surjective?
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6
If $n$ is the sum of two squares, then $n$ is not congruent to $3\pmod 4$
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5
base for the topology
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5
Let $f$ be continuous and positive
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5
Rudin's definition of $L^1(\mu)$
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5
How can I determine if the group $G=(\Bbb Z_{16}\times\Bbb Z_{18},+)$ is isomorphic to $(\Bbb Z_4\times\Bbb Z_{72},+)$?
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5
Show that $\{\emptyset,\{\emptyset\},\{\{\emptyset\}\},\{\{\{\emptyset\}\}\},...\}$ is a set
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