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Section 86.1: Introduction
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Section 86.2: Formal schemes à la EGA
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Section 86.3: Conventions and notation
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Section 86.4: Topological rings and modules
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Section 86.5: Taut ring maps
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Section 86.6: Adic ring maps
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Section 86.7: Weakly adic rings
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Section 86.8: Descending properties
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Section 86.9: Affine formal algebraic spaces
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Section 86.10: Countably indexed affine formal algebraic spaces
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Section 86.11: Formal algebraic spaces
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Section 86.12: The reduction
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Section 86.13: Colimits of algebraic spaces along thickenings
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Section 86.14: Completion along a closed subset
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Section 86.15: Fibre products
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Section 86.16: Separation axioms for formal algebraic spaces
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Section 86.17: Quasi-compact formal algebraic spaces
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Section 86.18: Quasi-compact and quasi-separated formal algebraic spaces
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Section 86.19: Morphisms representable by algebraic spaces
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Section 86.20: Types of formal algebraic spaces
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Section 86.21: Morphisms and continuous ring maps
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Section 86.22: Taut ring maps and representability by algebraic spaces
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Section 86.23: Adic morphisms
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Section 86.24: Morphisms of finite type
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Section 86.25: Surjective morphisms
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Section 86.26: Monomorphisms
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Section 86.27: Closed immersions
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Section 86.28: Restricted power series
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Section 86.29: Algebras topologically of finite type
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Section 86.30: Separation axioms for morphisms
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Section 86.31: Proper morphisms
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Section 86.32: Formal algebraic spaces and fpqc coverings
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Section 86.33: Maps out of affine formal schemes
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Section 86.34: The small étale site of a formal algebraic space
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Section 86.35: The structure sheaf
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Section 86.36: Colimits of formal algebraic spaces
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Section 86.37: Recompletion
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Section 86.38: Completion along a closed subspace