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topology
by katya ejkova
# topology

## degree

### explain how used to compute pi1

### calculate

### angle function

## space

### hausdorf

### topology

### connected

### path connected

### metric

### contractible

## subsets

### open set

### open ball

## map

### homotopy

### homeomorphism

### continuous map

### path

## fundamental group

### detailed definition

### calculate using degree, eg for torus

### winding number

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product topology

not: zariski with R

definition

product topology

dis/connected

examples

homotopy equivalent

basis

simply

product

check

open

hausdorff?

iff any 2 continouus functions homotopic

union

intersection

~

homotopic functions

interval to R

composition