Professional paper

Infinitary and finitary formulations ofmathematical results

Vjekoslav Kovač orcid.org/0000-0002-7023-6006 ; Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu

Abstract

This paper discusses various tricks used to reduce an infinitary formulation of a problem to a finitary one, and vice versa. The presented examples are famous problems from arithmetic combinatorics and
the Euclidean geometry, while the presented techniques come from mathematical analysis and mathematical logic.

Keywords

arithmetic progression; set density; sphere packing; packing density; plane coloring; chromatic number

Hrčak ID:

223026

URI

https://hrcak.srce.hr/223026

Publication date:

18.7.2019.

Article data in other languages: croatian

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