Questions tagged [cyclic-orders]
The cyclic-orders tag has no usage guidance.
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Existence of a homogeneous cyclic order for arbitrary infinite cardinals
It seems striking that the cardinalities of $\aleph_0$ and $\mathfrak c = 2^{\aleph_0}$ each admit what I will call a "homogeneous cyclic order", via the examples of $ℚ/ℤ$ and $ℝ/ℤ$. By ...
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Compatibility with multiplication of a cyclic order on a ring
I am copying my question from here: https://math.stackexchange.com/q/3233462/427611.
Is it correct that $\mathbb Z/3\mathbb Z$ and $\mathbb Z/4\mathbb Z$ are the only rings with three or more ...
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Card dealing mathematics problem [closed]
I have found the following card trick:
Take a stack of n cards, with a known order.
Deal the cards from your hand onto the table like this: Card from the top, then card from the bottom, from the top, ...
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Weights on cyclic orderings
Are there standard or known weights/metrics on cyclic orders?
Cyclic orderings are different ways of listing elements from a finite set, where you call two lists the same if they differ only by a ...
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What kind of category is a cyclically ordered set?
Background: A preorder is a binary relation $\leq$ which is reflexive and transitive. We can write the transitive property as ${\leq}(a,b)\wedge{\leq}(b,c)\to{\leq}(a,c)$. There are additional axioms ...