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This subtopic introduces the core ideas in pseudogroups and groupoids, including foundational concepts, standard methods, and the main questions used to organize the area. Typical uses include building mathematical background, framing related research problems, and supporting applications in neighboring fields where these concepts provide useful structure.
Pseudogroups and differentiable groupoids. This topic studies pseudogroups and groupoids as flexible symmetry frameworks connecting geometry, analysis, and topology.
Used to encode partial symmetries and singular quotients in geometry and analysis.
Cohomology of classifying spaces for pseudogroup structures. This topic studies pseudogroups and groupoids as flexible symmetry frameworks connecting geometry, analysis, and topology.
Used to encode partial symmetries and singular quotients in geometry and analysis.
Deformations of structures on manifolds. This topic studies pseudogroups and groupoids as flexible symmetry frameworks connecting geometry, analysis, and topology.
Used to encode partial symmetries and singular quotients in geometry and analysis.