Finite topological spaces as a pedagogical tool.

• Autores: Randall D. Helmstutler, Ryan S. Higginbottom
• Localización: Primus: problems, resources, and issues in mathematics undergraduate studies, ISSN 1051-1970, Vol. 22, Nº. 1, 2012, págs. 64-74
• Idioma: inglés
• DOI: 10.1080/10511970.2010.492493
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• Resumen

  • We propose the use of finite topological spaces as examples in a point-set topology class especially suited to help students transition into abstract mathematics. We describe how carefully chosen examples involving finite spaces may be used to reinforce concepts, highlight pathologies, and develop students' non-Euclidean intuition. We end with a project in which finite spaces are featured.