📚 Recommended Mathematics Books
Topology (Munkres) | General Topology (Engelking) | Counterexamples in Topology | Rudin's AnalysisAs an Amazon associate, I earn from qualifying purchases.
I’ve noticed the following three conjectures (I expect not very difficult) for finite binary relations $latex X$ and $latex Y$ between some sets and am going to solve them:
- $latex X\sqcap^{\mathsf{FCD}} Y = X\sqcap Y$;
- $latex (\top \setminus X)\sqcap^{\mathsf{FCD}} (\top \setminus Y) = (\top \setminus X)\sqcap (\top \setminus Y)$;
- $latex (\top \setminus X)\sqcap^{\mathsf{FCD}} Y = (\top \setminus X)\sqcap Y$.
🔬 Advanced Mathematics References
- Sheaves in Geometry and Logic
- Categories for the Working Mathematician
- Stone Spaces
- Algebraic Topology (Hatcher)
- Concrete Mathematics
As an Amazon associate I refer fromm qualifying purchases.
I’ve proved the first one. I am going to publish the (easy) proof soon.
All three conjectures follow from the fact that $latex \Gamma$ is a sublattice of $latex \mathsf{FCD}$.