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Section 89.1: Introduction
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Section 89.2: Notation and Conventions
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Section 89.3: The base category
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Section 89.4: The completed base category
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Section 89.5: Categories cofibered in groupoids
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Section 89.6: Prorepresentable functors and predeformation categories
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Section 89.7: Formal objects and completion categories
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Section 89.8: Smooth morphisms
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Section 89.9: Smooth or unobstructed categories
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Section 89.10: Schlessinger's conditions
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Section 89.11: Tangent spaces of functors
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Section 89.12: Tangent spaces of predeformation categories
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Section 89.13: Versal formal objects
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Section 89.14: Minimal versal formal objects
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Section 89.15: Miniversal formal objects and tangent spaces
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Section 89.16: Rim-Schlessinger conditions and deformation categories
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Section 89.17: Lifts of objects
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Section 89.18: Schlessinger's theorem on prorepresentable functors
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Section 89.19: Infinitesimal automorphisms
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Section 89.20: Applications
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Section 89.21: Groupoids in functors on an arbitrary category
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Section 89.22: Groupoids in functors on the base category
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Section 89.23: Smooth groupoids in functors on the base category
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Section 89.24: Deformation categories as quotients of groupoids in functors
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Section 89.25: Presentations of categories cofibered in groupoids
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Section 89.26: Presentations of deformation categories
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Section 89.27: Remarks regarding minimality
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Section 89.28: Uniqueness of versal rings
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Section 89.29: Change of residue field