Homology Theory — A Primer


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Homology Theory — A Primer

| updated by janarez | Edit resource "Homology Theory — A Primer"
Title
Homology Theory — A Primer
Type
Web
Created
2013-04-04
Description
This series on topology has been long and hard, but we’re are quickly approaching the topics where we can actually write programs. For this and the next post on homology, the most important background we will need is a solid foundation in linear algebra, specifically in row-reducing matrices (and the interpretation of row-reduction as a change of basis of a linear operator). Last time we engaged in a whirlwind tour of the fundamental group and homotopy theory. And we mean “whirlwind” as it sounds; it was all over the place in terms of organization. The most important fact that one should take away from that discussion is the idea that we can compute, algebraically, some qualitative features about a topological space related to “n-dimensional holes.”
Link
https://jeremykun.com/2013/04/03/homology-theory-a-primer/
Identifier
no value

Homology Theory — A Primer

| created by janarez | Add resource "Homology Theory — A Primer"
Title
Homology Theory — A Primer
Type
Web
Created
2013-04-04
Description
This series on topology has been long and hard, but we’re are quickly approaching the topics where we can actually write programs. For this and the next post on homology, the most important background we will need is a solid foundation in linear algebra, specifically in row-reducing matrices (and the interpretation of row-reduction as a change of basis of a linear operator). Last time we engaged in a whirlwind tour of the fundamental group and homotopy theory. And we mean “whirlwind” as it sounds; it was all over the place in terms of organization. The most important fact that one should take away from that discussion is the idea that we can compute, algebraically, some qualitative features about a topological space related to “n-dimensional holes.”
Link
https://jeremykun.com/2013/04/03/homology-theory-a-primer/
Identifier
no value

authors

created by Jeremy Kun
v1 | attached by janarez | Add resource "Homology Theory — A Primer"

topics

about Homology
v1 | attached by janarez | Edit resource "Homology Theory — A Primer"

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