📚 Recommended Mathematics Books
Topology (Munkres) | General Topology (Engelking) | Counterexamples in Topology | Rudin's AnalysisAs an Amazon associate, I earn from qualifying purchases.
I have almost finished developing theory of filters on posets (not including cardinality issues, maps between filters, and maybe specifics of ultrafilters).
Yeah, it is finished! I have completely developed a field of math.
Well, there remains yet some informal problems, see the attached image:
Note that as it seems nobody before me researched filters in details. Let us congratulate this scientific achievement.
🔬 Advanced Mathematics References
- Sheaves in Geometry and Logic
- Categories for the Working Mathematician
- Stone Spaces
- Algebraic Topology (Hatcher)
- Concrete Mathematics
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Oh, it is not finished yet! I forgot to consider the idea of “generalized cofinite filters” (as currently described in http://www.math.portonvictor.org/binaries/addons.pdf)