A note on Boolean inverse monoids and ample groupoids
Chi-Keung Ng, Rui Tian
Abstract
It is a study note detailing the connection between Boolean inverse monoids and ample groupoids.
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A note on Boolean inverse monoids and ample groupoids
Authors
Chi-Keung Ng, Rui Tian
Abstract
It is a study note detailing the connection between Boolean inverse monoids and ample groupoids.
Paper Structure
This paper contains 4 theorems, 42 equations.
Key Result
Lemma 2
Let $S$ be a Boolean inverse monoid. If $\phi,\chi\in S$ satisfying $\chi\leq \phi$, then there is a unique element $\phi\setminus \chi\in S$ such that
Theorems & Definitions (9)
- Definition 1
- Lemma 2: L10
- Lemma 3
- proof
- Lemma 4
- proof
- Remark 5
- Proposition 6
- proof