Topología Elemental

A course on Elements of Topology (TOEL, see detailed contents), 3rd year in the Maths Degree and Double Degrees (with Computer Sciences and with Physics). The part of the course devoted to the fundamental group follows this 2019 text written jointly with J.D. Porras and M. Jaenada; the relevant sections are 1-9, 11-12, 16, 19. Samples of problems and exercises are these 234 and for exam models look here. Sierpinski’s is a quite general theorem, illustrating the beauty of General Set Topology, kindly written by Manuel Morán. Here there is a bonus on the fundamental group of a surface. In the end, enjoy these two 3blue1brown’s videos: Unsolved and Fair Division, brought to my atention by David Pérez.

Aquí se irán incluyendo las lecciones impartidas según avance el curso: L1, L2, L3, L4, L5, L6, L7, L8, L9, L10, L11, L12, L13, L14, L15, L16, L17, L18, L19, L20, L21, L22, L23, L24, L25, L26, L27, L28.

Resumen de soluciones del examen de 10 de junio de 2021.