Algebraic Topology - 13.0.1 - Homotopy Groups (first explanation)

preview_player
Показать описание
Errata: so to get the homotopy to the identity right we need

alpha(2r_0) = alpha^{-1}(2r_1-1) so this means 2r_0=1-(2r_1-1) so that 2r_0 = 2-2r_1 or r_1 = 1-r_0. So the "turn around" map should have us stopping at time r_0 then going backwards at time r_1.
  1. Taylor Dupuy
Рекомендации по теме
Algebraic Topology 13: 1:06:02

Algebraic Topology 13: Homotopy Equivalence Preserves Homology

1. History of 1:03:41

1. History of Algebraic Topology; Homotopy Equivalence - Pierre Albin

Algebraic Topology: 10-13-16 0:59:51

Algebraic Topology: 10-13-16 part 1

Introduction to Algebraic 0:12:56

Introduction to Algebraic Topology : Lecture13.1 MA 232 (2020)

M-13. Contractible spaces 0:26:13

M-13. Contractible spaces and Homotopy Equivalence

Algebraic Topology: L5, 0:59:51

Algebraic Topology: L5, affine spaces, 9-13-16, part 1

[Algebraic Topology] 13. 0:43:59

[Algebraic Topology] 13. Homology in Model Category

When mathematicians get 0:00:37

When mathematicians get bored (ep1)

Topology: The Closure 0:12:21

Topology: The Closure of a Set

Introduction to Algebraic 0:30:01

Introduction to Algebraic Topology | Algebraic Topology 0 | NJ Wildberger

Homotopy of paths 0:07:06

Homotopy of paths

Computing homology groups 0:41:07

Computing homology groups | Algebraic Topology | NJ Wildberger

Algebraic Topology: 11-29-16 0:59:51

Algebraic Topology: 11-29-16 part 1

AlgTop13: More applications 0:26:59

AlgTop13: More applications of winding numbers

More homology computations 0:42:55

More homology computations | Algebraic Topology | NJ Wildberger

Algebraic topology: Introduction 0:29:09

Algebraic topology: Introduction

Algebraic Topology: L12, 0:59:51

Algebraic Topology: L12, homology, 10-4-16, part 1

Homotopy (Algebraic topology 0:47:29

Homotopy (Algebraic topology )

Algebraic Topology - 0:21:27

Algebraic Topology - 12.1 - Fibrations and Cofibrations

Algebraic Topology: L9, 0:59:51

Algebraic Topology: L9, Singular Homology, 9-27-16, part 1

An introduction to 0:46:57

An introduction to homology | Algebraic Topology | NJ Wildberger

Algebraic Topology 1.3 0:37:16

Algebraic Topology 1.3 : Path Homotopy and Product (Animation Included)

Algebraic Topology: L12, 0:59:51

Algebraic Topology: L12, long exact sequences, 10-11-16, part 1

One-dimensional objects | 0:32:19

One-dimensional objects | Algebraic Topology 1 | NJ Wildberger