List questions from examples-counterexamples

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non time constructible functions

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Is it possible for a function to be in $L^p$ for only one $p$?

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List Question

A relation $R$ such that $R\cup R^{-1}$ is not an equivalence relation

Cantor space: example of an open set that's not closed?

non time constructible functions

Is it possible for a function to be in $L^p$ for only one $p$?

“Pseudo-Cauchy” sequences: are they also Cauchy?

If every continuous $f:X\to X$ has $\text{Fix}(f)\subseteq X$ closed, must $X$ be Hausdorff?

Counterexample involving the minimal polynomial of a linear operator

What function(s) can satisfy these conditions?

Example of infinite field of characteristic $p\neq 0$

A locally injective but non globally injective function?

Examples of parameter dependent ODEs

Example where closure of $A+B$ is different from sum of closures of $A$ and $B$

Diffeomorphisms: Examples and Importance

Examples of math contest problems that can be solved in a 'cheap' way?

Example to illustrate the necessity for nets?

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