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Maximal bijection-dodging families on $\mathbb{N}$

We say that a family ${\cal S}\subseteq{\cal P}(\mathbb{N})$ is bijection-dodging if there is a bijection $\varphi:\mathbb{N}\to\mathbb{N}$ with $\varphi(T)\notin {\cal S}$ for all $T\in{\cal S}$. ...
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A perfect shuffle on $\mathbb{N}$

Motivation. This weekend I was playing the pair-matching game Memory (also called Concentration in other parts of the world) against my youngest son, and wondered about what constitutes a "good ...
Dominic van der Zypen's user avatar