Title
Functional topology for geometric settings Functional topology for geometric settings
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Amsterdam ,
Subject
Mathematics
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Volume/pages
217(2013) :11 , p. 2180-2197
ISSN
0022-4049
ISI
000320894000011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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 View the MathML sourceSch 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 View the MathML sourceSch, and recover the notions of properness and separatedness on View the MathML sourceSch.
E-info
https://repository.uantwerpen.be/docman/iruaauth/ba8905/d16e57a8b9a.pdf
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