topology

Get Started. It's Free
or sign up with your email address
Rocket clouds
topology by Mind Map: topology

1. degree

1.1. explain how used to compute pi1

1.2. calculate

1.3. angle function

2. space

2.1. hausdorf

2.1.1. product topology

2.1.2. not: zariski with R

2.2. topology

2.2.1. definition

2.2.2. product topology

2.2.3. dis/connected

2.2.4. examples

2.2.5. homotopy equivalent

2.2.6. basis

2.3. connected

2.3.1. simply

2.4. path connected

2.4.1. product

2.5. metric

2.5.1. check

2.5.2. open

2.5.3. hausdorff?

2.6. contractible

2.6.1. iff any 2 continouus functions homotopic

3. subsets

3.1. open set

3.2. open ball

3.2.1. union

3.2.2. intersection

4. map

4.1. homotopy

4.1.1. ~

4.1.2. homotopic functions

4.2. homeomorphism

4.2.1. interval to R

4.3. continuous map

4.3.1. composition

4.4. path

5. fundamental group

5.1. detailed definition

5.2. calculate using degree, eg for torus

5.3. winding number