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homology

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2018-01-15 17:33:08

www.youtube.com homology

赤赤mathphy 发消息

爱好数学是个牌佬和任豚还有宝可梦！

1.Motivation for CW Complexes

05:34

2.CW Defn and Examples

18:03

3.Constructions

13:42

4.Connected sum

11:37

5.Classification of Surfaces

14:10

6.Chain Complex Examples

16:25

7.Homology of product of spaces

08:23

8.Homology to Cohomology

13:31

9.0.Motivation for Delta Complex

05:51

9.Delta Complex

07:23

9.1.Delta Complex Continued 1a

06:17

9.2.Delta Complex

07:23

10.Boundary Map

11:05

11.Homology of a Circle and wedge product

05:58

12.Homology of Torus using Delta Complex

08:31

13.Homology of Klein Bottle using Delta Complex

08:05

14.Homology of Real Projective Plane using Delta Complex

10:55

15.Torus Homology

03:31

16.Real Projective Homology

03:35

17.Dunce Cap Homology

03:19

18.More Examples

14:57

19.Homotopy and Wedge Product Examples

06:59

20.Singular Homology 1

13:20

21.Singular Homology II

12:53

22.Homotopy Invariance and Homology

08:15

23.Exact Sequence and homology of good pair with Example

14:39

24.Application of good pair Homology

02:35

25.Relative Homology 1

06:13

26.Long Exact Sequence of Pair

11:55

27.Reduced homology theory

08:44

28.Homology of Klein Bottle using Delta Complex

08:05

29.Applications

05:33

30.Reduced wth point and wedge sums

11:59

31.Rm Rn if m n.

05:17

32.Degree of Map

15:39

33.Application of Antipodal Map

08:49

34.Degree Map Part I

14:55

35.Degree Part II

13:30

36.Degree Part II (Corrected Version)

13:23

37.Degree Part III

10:01

38.Degree Part IV

13:28

39.Cellular Homology Good Pair

08:34

40.Cellular Boundary Formulae and Application

10:44

41.Cellular Homology Part II

14:24

42.Cellular Boundary Formula

10:34

43.Application of Cellular Homology

06:00

44.Application to Real Projective Plane

07:12

45.Euler Charachteristic

10:08

46.Mayer Vietoris Klein Bottle and Torus

16:54

47.Mayer Vietoris Torus plus Mobius

11:51

48.Jordan Curve Theorem

14:56

49.Naturality

02:57

50.Embedding I

09:20

51.Embedding Part II

08:28

52.Invariance of Domain

06:09

53.Borsuk Ulam odd degree

14:43

54.Borsuk Ulam Theorem

14:21

55.Lefschetz Fixed Point Theorem Part 1

11:51

56.Lefschetz Fixed Point Theorem Intro

08:37

57.Lefschetz Fixed Point Theorem Part 2

12:24

58.Homological Algebra Part I

09:17

59.Homological Algebra Part II

15:04

60.Lefschetz Fixed Point Theorem

09:13

61.Euler Characteristic

10:36

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