14:5717 The triple sequence
A 15-minute video from Roman Sauer: “17 The triple sequence”.
Roman Sauer
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14:57
47:0418 Relative homology as absolute homology
A 47-minute video from Roman Sauer: “18 Relative homology as absolute homology”.
16:3519 Mayer-Vietoris sequence
A 17-minute video from Roman Sauer: “19 Mayer-Vietoris sequence”.
8:1020 Mayer-Vietoris sequence for pushouts
A 8-minute video from Roman Sauer: “20 Mayer-Vietoris sequence for pushouts”.
11:0421 The suspension isomorphism
A 11-minute video from Roman Sauer: “21 The suspension isomorphism”.
16:5522 The degree of self-maps of the circle
A 17-minute video from Roman Sauer: “22 The degree of self-maps of the circle”.
19:4923 The homology of the Klein bottle
A 20-minute video from Roman Sauer: “23 The homology of the Klein bottle”.
12:5324 The homology of the Klein bottle (alternative method)
A 13-minute video from Roman Sauer: “24 The homology of the Klein bottle (alternative method)”.
45:5026 Invariance of domain
A 46-minute video from Roman Sauer: “26 Invariance of domain”.
14:2827 Invariance of dimension
A 14-minute video from Roman Sauer: “27 Invariance of dimension”.
47:3928 The Borsuk-Ulam theorem
A 48-minute video from Roman Sauer: “28 The Borsuk-Ulam theorem”.
25:4429 The Ham-Sandwich Theorem
A 26-minute video from Roman Sauer: “29 The Ham-Sandwich Theorem”.
22:5230 The cellular chain complex
A 23-minute video from Roman Sauer: “30 The cellular chain complex”.
36:0331 Cellular homology computes singular homology
A 36-minute video from Roman Sauer: “31 Cellular homology computes singular homology”.
16:1932 Incidence numbers of the cellular chain complex
A 16-minute video from Roman Sauer: “32 Incidence numbers of the cellular chain complex”.
29:5133 Differentials in the cellular chain complex
A 30-minute video from Roman Sauer: “33 Differentials in the cellular chain complex”.
28:1934 Easy examples of cellular homology
A 28-minute video from Roman Sauer: “34 Easy examples of cellular homology”.
37:5635 Euler characteristic
A 38-minute video from Roman Sauer: “35 Euler characteristic”.
52:2036 Lens spaces
A 52-minute video from Roman Sauer: “36 Lens spaces”.
19:1837 Projective modules
A 19-minute video from Roman Sauer: “37 Projective modules”.
37:1138 Fundamental theorem of homological algebra
A 37-minute video from Roman Sauer: “38 Fundamental theorem of homological algebra”.
38:0939 Tensor products
A 38-minute video from Roman Sauer: “39 Tensor products”.
37:5140 Left and right exactness
A 38-minute video from Roman Sauer: “40 Left and right exactness”.
34:4941 Computations of tensor products
A 35-minute video from Roman Sauer: “41 Computations of tensor products”.
56:4242 The Tor functor
A 57-minute video from Roman Sauer: “42 The Tor functor”.
41:5243 Universal coefficient theorem
A 42-minute video from Roman Sauer: “43 Universal coefficient theorem”.
47:1644 Künneth theorem
A 47-minute video from Roman Sauer: “44 Künneth theorem”.
43:5545 Acyclic models theorem
A 44-minute video from Roman Sauer: “45 Acyclic models theorem”.
19:3046 Applications of the universal coefficient and Künneth theorem
A 20-minute video from Roman Sauer: “46 Applications of the universal coefficient and Künneth theorem”.