List questions from proof-verification

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Adjunction spaces and product of spaces in Top

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Proof verification: If $gf$ is surjective and $g$ is injective, then $f$ is surjective

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Can you state the existence of the orthogonal projection on $W$?

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Left- and right inverse, simple category theory proof

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$G=\mathbb{Z}_{>0}$ with $a\circ{}b=a^b$ is a Group. Or not.

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Solving the Hyperbolic PDE $u_{xx}-2u_{xy}-3u_{yy}=0$

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Proof verification: If $f:A\rightarrow B$ and $S \subset T \subset A$, then $f(S) \subset f(T)$

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Proof: A graph that does not contain any closed walks with odd length is bipartite.

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Prove that for all $a, b \in \Bbb{R}$ with $a \neq b$, there exist disjoint open balls containing $a$ and $b$

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Verifying proof for the following question

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Proof verification : If $S$ and $T$ are subsets of $B$ with $S \subset T$, prove $f^{-1}(S)\subset f^{-1}(T)$

Published on 16 Apr 2026 - 15:54

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Problem with value of integral

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132

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Markov chain, periodicity implies no equilibrium

Published on 15 Apr 2026 - 12:00

179

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Field homomorphism $f:\mathbb K\longrightarrow \mathbb K$ is zero map or an isomorphism?

Published on 16 Apr 2026 - 15:50

List Question

Prove $l^2$ norm obeys the triangle inequality

Adjunction spaces and product of spaces in Top

Proof verification: If $gf$ is surjective and $g$ is injective, then $f$ is surjective

Can you state the existence of the orthogonal projection on $W$?

Left- and right inverse, simple category theory proof

$G=\mathbb{Z}_{>0}$ with $a\circ{}b=a^b$ is a Group. Or not.

Solving the Hyperbolic PDE $u_{xx}-2u_{xy}-3u_{yy}=0$

Proof verification: If $f:A\rightarrow B$ and $S \subset T \subset A$, then $f(S) \subset f(T)$

Proof: A graph that does not contain any closed walks with odd length is bipartite.

Prove that for all $a, b \in \Bbb{R}$ with $a \neq b$, there exist disjoint open balls containing $a$ and $b$

Verifying proof for the following question

Proof verification : If $S$ and $T$ are subsets of $B$ with $S \subset T$, prove $f^{-1}(S)\subset f^{-1}(T)$

Problem with value of integral

Markov chain, periodicity implies no equilibrium

Field homomorphism $f:\mathbb K\longrightarrow \mathbb K$ is zero map or an isomorphism?

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