📚 Recommended Mathematics Books
Topology (Munkres) | General Topology (Engelking) | Counterexamples in Topology | Rudin's AnalysisAs an Amazon associate, I earn from qualifying purchases.
I have researched relations between directed topological spaces and pair of funcoids. Here the first funcoid represents topology and the second one represents direction.
Results are mainly negative:
Not every directed topological space can be represented as a pair of funcoids.
Different pairs of a topological space and its subfuncoid may generate the same directed topological space.
The research is currently available here. See also my book.
🔬 Advanced Mathematics References
- Sheaves in Geometry and Logic
- Categories for the Working Mathematician
- Stone Spaces
- Algebraic Topology (Hatcher)
- Concrete Mathematics
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