In this paper we sketch a general theory of embeddings for geometries with string diagrams, focusing on their hulls. An affine-like geometry, which we call expansion, is associated to every embedding. As we shall prove, the universal cover of the expansion of an embedding is the expansion of the hull of that embedding. Some applications of this theorem are given.
Pasini, A. (2003). Embeddings and expansions. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY SIMON STEVIN, 10(4), 585-626 [10.36045/bbms/1070645804].
Embeddings and expansions
PASINI A.
2003-01-01
Abstract
In this paper we sketch a general theory of embeddings for geometries with string diagrams, focusing on their hulls. An affine-like geometry, which we call expansion, is associated to every embedding. As we shall prove, the universal cover of the expansion of an embedding is the expansion of the hull of that embedding. Some applications of this theorem are given.
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https://hdl.handle.net/11365/17533
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