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Le topos etale réel d’un anneau. (French) Zbl 0454.18008


MSC:

18B25 Topoi
14Pxx Real algebraic and real-analytic geometry
58A07 Real-analytic and Nash manifolds
18F15 Abstract manifolds and fiber bundles (category-theoretic aspects)
18F10 Grothendieck topologies and Grothendieck topoi
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References:

[1] 1 M. Coste & M.-F. Coste-Roy , Topologies for real algebraic geometry, Topos theoretic methods in geometry , Various Publ. Series 30 , Aarhus Univ. 1979 . MR 552658 | Zbl 0417.14002 · Zbl 0417.14002
[2] 2 M. Artin , A. Grothendieck , J.L. Verdier , Théorie des topos et cohomologie étale des schémas , Lecture Notes in Math , 270 , Springer ( 1972 ). MR 354653
[3] 3 G.W. Brumfiel , Partially ordered rings and semi-algebraic geometry , L ecture Notes series 37 , Cambridge Univ. Press , 1979 . MR 553280 | Zbl 0415.13015 · Zbl 0415.13015
[4] 4 M.-F. Coste-Roy , Spectre réel d’un anneau et topos étale réel, Thèse , Univ. Paris XIII , 1980 . · Zbl 0433.14018
[5] 5 M. Coste & M.-F. Coste-Roy , Le spectre étale réel d’un anneau est spatial , C. R. A. S. Paris 290 ( 1980 ), 91 - 94 . MR 563946 | Zbl 0433.14018 · Zbl 0433.14018
[6] 6 M. Artin & B. Mazur , On periodic points , Ann. of Math. 81 ( 1965 ), 82 - 99 . MR 176482 | Zbl 0127.13401 · Zbl 0127.13401 · doi:10.2307/1970384
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