# Topology

There have been 1 completed talk and 7 topic suggestions tagged with **topology**.

## Related Tags

- geometric topology
- homology
- algebraic topology
- geometry
- analysis
- metric space
- philosophy
- multivariate calculus

## Completed Talks

### Simplicial Homology

Delivered by Kai RĂ¼sch on Friday November 11, 2016

How do we count how many holes a shape has? We can answer this question using homology groups, whose order's count the number of $n$-dimensional holes.

A summary of this talk is available here.

## Talk Suggestions

### Constructive Mathematics

Constructive mathematics, or mathematics without the law of the excluded middle, is becoming more popular thanks to connections with computer science, category theory, and topology. Its logical foundations may be initially difficult to grasp for those used to a classical system.

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computability computer science constructive mathematics logic philosophy topology type theory

### Iterated function systems

Aesthetically appealing fractal art can be created through interesting mathematical processes, including contraction mappings on metric spaces. Several well known fractals can be formalized mathematically and also appreciated visually. A talk on this subject would explore both mathematical and artistic aspects.

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analysis art fractal metric space topology

### Low Dimensional Geometry

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geometric topology geometry multivariate calculus topology

### Penrose Tilings

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geometric topology geometry topology

### Rational Tangles and Conway's Theorem

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C. C. Adams : The Knot Book: An elementary introduction to the mathematical theory of knots

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geometric topology knot theory topology

### The Jordan Curve Theorem

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algebra algebraic topology geometric topology homology topology

### The Winding Number

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algebra algebraic topology analysis differential geometry geometric topology geometry topology