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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


Full text of review: PDF   This review is available free of charge.
Book Information:

Author: M. Shiota
Title: Geometry of subanalytic and semialgebraic sets
Additional book information: Birkhäuser, Boston, MA, 1997, xii+431 pp., ISBN 0-8176-4000-2, $89.50$

References [Enhancements On Off] (What's this?)

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M. Coste: Topological Types of Fewnomials. Singularities Symposium - {\L}ojasiewicz 70. Banach Center Pub. 44, Polish Acad. Sci. (1998), 81-92. CMP 99:09
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L. van den Dries: Tame Topology and O-minimal Structures. London Math. Soc. Lect. Notes 248. Cambridge Univ. Press 1998. CMP 98:15
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    Y. Peterzil, S. Starchenko: A Trichotomy Theorem for O-minimal Structures. Proc. London Math. Soc. 77 (1998), 481-523. CMP 99:01
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    M. Shiota: Thom's Conjecture on Triangulation of Maps. Sûrikaisekikenkyûsho Kôkyûroku No. 1050 (1998), 12-28. CMP 99:09
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    A. Wilkie: A General Theorem of the Complement and Some New O-minimal Structures. Preprint, 1996.
    Review Information:

    Reviewer: Michel Coste
    Affiliation: University of Rennes
    Email: coste@univ-rennes1.fr
    Journal: Bull. Amer. Math. Soc. 36 (1999), 523-527
    DOI: https://doi.org/10.1090/S0273-0979-99-00793-4
    Published electronically: July 27, 1999
    Review copyright: © Copyright 1999 American Mathematical Society