arXiv Open Access 2023

Some Properties of Internal Locale Morphisms Externalised

Joshua Wrigley

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Abstrak

We study morphisms of internal locales of Grothendieck toposes externally: treating internal locales and their morphisms as sheaves and natural transformations. We characterise those morphisms of internal locales that induce surjective geometric morphisms and geometric embeddings, demonstrating that both can be computed `pointwise'. We also show that the co-frame operations on the co-frame of internal sublocales can also be computed `pointwise' too.

Topik & Kata Kunci

math.AG math.CT

Penulis (1)

Joshua Wrigley

Format Sitasi

APA MLA BibTeX

Wrigley, J. (2023). Some Properties of Internal Locale Morphisms Externalised. https://arxiv.org/abs/2301.00961

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓