O-Minimality
Tame topology and o-minimal expansions of the reals.
O-Minimality. Tame topology and o-minimal expansions of the reals.
Foundations and canonical references
The standard treatments of o-minimality approach the subject from complementary angles. Vandendries, Tame Topology and O-minimal Structures (1998) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for o-minimality include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1998Tame Topology and O-minimal Structuresvandendries-1998
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