Exploring Modern Topology Lecture 3 Topological Spaces

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  • We prove that closed, bounded intervals of the real line are compact, along with the Heine-Borel theorem, and the extreme value ...
  • We define
  • We derive the disjoint union
  • We define compactness in terms of open covers and see several basic examples. We then prove that compactness is preserved ...
  • Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4 We recall the definition of the ...

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drive.google.com/file/d/1n9TBJyNKjM2kBr1UKC2XceEeMsWjkdTG/view. Notes are on my GitHub! github.com/rorg314/WHYBmaths This video introduces the concept of a We give a definition for the basis of a We define limit points, isolated points, dense subsets, and convergent sequences in a general

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