Research Explorer

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Project

Nonstandard analysis in special models

Outputs and Outcomes

Code

01D29818

Duration

01 October 2018 → 30 September 2020

Funding

Regional and community funding: Special Research Fund

Promotor

Hans Vernaeve

Fellow

Ben De Bondt

Research disciplines

Natural sciences
- Abstract harmonic analysis
- History and foundations not elsewhere classified

Keywords

nonstandard analysis topology ultrafilters Baire category

Project description

On the one hand, topology in spaces that are not first countable requires a saturated version of nonstandard analysis. On the other hand, some topological properties whose definition mentions a countable number of sets require a different version of nonstandard analysis.
The current project aims to develop a theory in which both can be combined simultaneously.

English

Dutch

English

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