Enrichment for the Bicategory of Orbispaces Dorette Pronk, - - PowerPoint PPT Presentation

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Enrichment for the Bicategory of Orbispaces Dorette Pronk, - - PowerPoint PPT Presentation

Jul 30, 2023 162 likes •465 views

Enrichment for the Bicategory of Orbispaces Dorette Pronk, Dalhousie University Laura Scull, Fort Lewis College Categorical Approaches to Topology and Geometry CMS Summer Meeting 2019 Regina, SK Table of Contents 1. Enriched bicategories:

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Enrichment for the Bicategory of Orbispaces

Dorette Pronk, Dalhousie University Laura Scull, Fort Lewis College

Categorical Approaches to Topology and Geometry CMS Summer Meeting 2019 Regina, SK

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  • 1. Enriched bicategories: topological groupoids with homomorphisms

  • 2. Enriched bicategories: orbispaces with generalized maps
  • a. Revisit the 2-cells
  • b. Define the groupoids
  • c. Discuss composition

  • 3. Further work: mapping orbifolds

Table of Contents

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Topological Groupoids

Objects Homs

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Enrichment

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Question

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Representatives for 2-Cells

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Pseudo Pullbacks and Essential Covering Maps

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Horizontal Whiskering, I

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Horizontal Whiskering, I

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Horizontal Whiskering, II

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Horizontal Whiskering, II

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Horizontal Whiskering, II

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Composition

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Enrichment and Morita Invariance

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Further Results