TL;DR
This paper explores the relationship between two definitions of Poincaré Duality and their geometric interpretation through level curve mapping, providing insights into their connections.
Contribution
It introduces a geometric perspective linking different formulations of Poincaré Duality via level curve mapping.
Findings
Established connections between duality definitions
Provided geometric interpretation of duality
Enhanced understanding of Poincaré Duality structure
Abstract
We investigate some connections between two different ways of defining Poincar\'e Duality, and relate them geometrically to the level curve mapping.
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Taxonomy
TopicsHistory and Theory of Mathematics