Counting Lattice Points and O-Minimal Structures

Strong wavefront lemma and counting latt

Strong wavefront lemma and counting lattice points in sectors

✍ Alexander Gorodnik; Hee Oh; Nimish Shah 📂 Article 📅 2010 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 303 KB

Locally o-minimal structures and structu

Locally o-minimal structures and structures with locally o-minimal open core

✍ Antongiulio Fornasiero 📂 Article 📅 2013 🏛 Elsevier Science 🌐 English ⚖ 319 KB

A fixed point theorem for o-minimal stru

A fixed point theorem for o-minimal structures

✍ Kam-Chau Wong 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

## Abstract We prove a definable analogue to Brouwer's Fixed Point Theorem for o‐minimal structures of real closed field expansions: A continuous definable function mapping from the unit simplex into itself admits a fixed point, even though the underlying space is not necessarily topologically comp

Quasi-O-Minimal Structures

✍ Oleg Belegradek, Ya'Acov Peterzil and Frank Wagner 📂 Article 📅 2000 🏛 Association for Symbolic Logic 🌐 English ⚖ 400 KB

Tame topology and O-minimal structures

✍ L. P. D. van den Dries 📂 Library 📅 1998 🏛 Cambridge University Press 🌐 English ⚖ 2 MB

Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpo

Tame topology and O-minimal structures

✍ L. P. D. van den Dries 📂 Library 📅 1998 🏛 Cambridge University Press 🌐 English ⚖ 2 MB

Following their introduction in the early 1980s, o-minimal structures have provided an elegant and surprisingly efficient generalization of semialgebraic and subanalytic geometry. This book gives a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpo