论文标题

无点的空间,点

Generalized point-free spaces, pointwise

论文作者

Vickers, Steven

论文摘要

我们调查了Grothendieck广义空间的基本原理,包括各种术语的关键词汇表。使用广义点的已知结果支持这些基本无点结构的完全侧重符号。这包括一些来自依赖类型的理论,用于将捆绑包作为连续的空格值地图,将基本点映射到纤维。

We survey foundational principles of Grothendieck's generalized spaces, including a critical glossary of the various, and often conflicting, terminological usages. Known results using generalized points support a fully pointwise notation for these essentially point-free structures. This includes some from dependent type theory to deal with bundles as continuous space-valued maps, mapping base point to fibre.

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