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Galois theory in a topos. (English) Zbl 0441.18008


MSC:

18B25 Topoi
20E18 Limits, profinite groups
03G30 Categorical logic, topoi
18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects)
16P60 Chain conditions on annihilators and summands: Goldie-type conditions
13B05 Galois theory and commutative ring extensions
20E25 Local properties of groups
16W20 Automorphisms and endomorphisms
18A99 General theory of categories and functors
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References:

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[2] Johnstone, P.T., Tychonoff’s theorem without the axiom of choice, (1978), preprint · Zbl 0503.54006
[3] Johnstone, P.T., Topos theory, () · Zbl 0368.18001
[4] Johnstone, P.T., Some aspects of internal category theory in an elementary topos, () · Zbl 0368.18001
[5] Johnstone, P.T., Factorization and pullback theorems for localic geometric morphisms, (), Rapport no. 79 · Zbl 0454.18007
[6] Johnstone, P.T.; Wraith, G.C., Algebraic theories in toposes, Indexed categories and their applications, Springer lecture notes in mathematics, 661, 141-242, (1978) · Zbl 0392.18006
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[9] Mikkelsen, C.J., Lattice theoretic and logical aspects of elementary topoi, () · Zbl 0345.18006
[10] Tierney, M., Forcing topologies and classifying topoi, (), 211-219 · Zbl 0356.18012
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