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Mathematics
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M W
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Top posts
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17
Why can we take the collection of all open balls?
Sep 3, 2023
14
Question about axioms of topology
Aug 25, 2023
11
How to prove that $f(x,y)=xy(x+y)$ isn't surjective as $f:\mathbb{Q}^2\to\mathbb{Q}$.
Oct 16, 2023
10
Show that bounded continuous functions on $\Bbb R$ with $f(x)=\int_{x}^{x+1}f(t)\mathrm{d}t$ are constant
Oct 28, 2023
10
Prove that $f(\mathbb R) = \mathbb R$. Partially solved.
Nov 12, 2023
10
Is $x^3$ really an increasing function for all intervals?
Nov 16, 2023
10
Example of a uncountable compact metric space with countably infinitely many isometries
Dec 8, 2023
9
How to prove that the space of all bounded functions $\mathcal{B}(X,\mathbb{R})$ is disconnected?
Feb 13
9
Properties of modular arithmetic without equivalence classes
Aug 18, 2023
8
Is it true that if a given equivalence relation is closed, then each equivalence class is closed?
Aug 23, 2023
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26
Most elementary proof showing that exponential growth wins against polynomial growth