Poincaré duality does not appear to be a concept meaningfully defined or applied in the provided papers, which focus on OGC IndoorGML, indoor spatial data modeling, and COVID-19 contact tracing systems. These works deal with graph-based spatiotemporal representations, topological cell complexes, and hierarchical indoor network structures, but do not invoke Poincaré duality as a method. Providing a definition based on how this term is used in these papers would therefore be inaccurate or fabricated, and cannot be responsibly produced from the given sources.

Source Papers

  • A Person-to-Person and Person-to-Place COVID-19 Contact Tracing System Based on OGC IndoorGML — A Person-to-Person and Person-to-Place COVID-19 Contact Trac
  • A Standard Indoor Spatial Data Model—OGC IndoorGML and Implementation Approaches — A Standard Indoor Spatial Data Model—OGC IndoorGML and Imple