Functional topology for geometric settings
- Autores: Wendy Lowen, Joris Mestdagh
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 11, 2013, págs. 2180-2197
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.02.006
- Enlaces
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Resumen
In this paper we propose two approaches to connect the functional topology theory of Clementino et al. (2004) [4] with the situation in the category Sch of schemes. In a first approach, we extend an example from [4] to a more general pattern for obtaining a class of ��closed morphisms�� from two auxiliary classes, ��closed embeddings�� and newly added ��surjections��. In a second approach we apply [4] to the presheaf category over Sch, and recover the notions of properness and separatedness on Sch.
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