Understanding Homology in Algebraic Topology 🧠

Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4 We give the intuition behind homology -- in particular, how homology measures the "holes" of a space of various dimensions. While this motivates the formal definition and helps one understand the calculations, in this lecture we neither give a formal definition or explicit means of calculating homology. For that, see the earlier lecture on simplicial homology or the upcoming lectures on singular homology. Presented by Anthony Bosman, PhD. Learn more about math at Andrews University: https://www.andrews.edu/cas/math/ In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf