Cohomologia de deRham i didàctica de la geometria esfèrica

Abstract

[en] We define and study homology and de Rham’s cohomology groups, and the close connection between them despite their distinct natures. The integration of differential forms is defined, and the general and simplicial cases of Stokes’ theorem are presented. Additionally, didactic resources that can be used to convey certain abstract ideas of non-Euclidean geometries and topology to a second cycle of ESO (Secondary Education) class are examined. Finally, an activity is conducted in a classroom, and conclusions are drawn.