📚 Recommended Mathematics Books
Topology (Munkres) | General Topology (Engelking) | Counterexamples in Topology | Rudin's AnalysisAs an Amazon associate, I earn from qualifying purchases.
I’ve proved today (the proof is surprisingly simple) that a funcoid $latex f$ is complete, if and only if $latex f\circ \bigcup K=\bigcup_{g\in K}(f\circ g)$ for any set $latex K$ of funcoids. Moreover, $latex K$ can be restricted to only principal funcoids without loss of equivalency.
See Algebraic Theory of General Topology.
🔬 Advanced Mathematics References
- Sheaves in Geometry and Logic
- Categories for the Working Mathematician
- Stone Spaces
- Algebraic Topology (Hatcher)
- Concrete Mathematics
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