This class was created by Brainscape user Charles Thomas. Visit their profile to learn more about the creator.
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Charles Thomas
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Decks in this class (12)
Metrics
Define a metric space 1,
Define an open set in a metric sp...,
Define a closed set 3
10
cards
Topological Spaces
Define a topological space 1,
What is the discrete topology 2,
What is the indiscrete topology 3
9
cards
Limits, Bases, and Products
What is an open neighbourhood of x 1,
What is a limit point 2,
When is a point not a limit point 3
16
cards
Connectedness
What does it mean for a space to ...,
What is the relationship between ...,
Give the equivalences for connect...
9
cards
Compactness
Define a cover 1,
Define compactness 2,
Give compactness in terms of basis 3
11
cards
Quotient Topologies
Define the set of equivalence cla...,
Define the quotient topology 2,
How big is the quotient topology 3
7
cards
Topological Groups
Define a topological group 1,
Are subgroups topological groups 2,
Define left translation 3
10
cards
Simplicial Complexes
Define an n simplex 1,
Define a finite simplicial complex 2,
Define a triangulation 3
7
cards
Surfaces
Define a surface 1,
Define the boundary of a surface 2,
Define the interior of a surface ...
13
cards
Homotopy and the Fundamental Group
Define homotopy 1,
Is homotopy an equivalence relati...,
Define null homotopic 3
23
cards
Computing the Fundamental Group
Define free group 1,
Define finitely presented group 2,
Define free product of groups 3
9
cards
Euler Characteristics and the Classification of Closed Surfaces
Define euler characteristic of a ...,
What is x g for a finite tree 2,
What is x g for a finite connecte...
17
cards
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Topology
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