Blogs about: Homotopy Theory
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Dan Christensen on Diffeological Spaces and Homotopy Theory
So Dan Christensen, who used to be my supervisor while I was a postdoc at the University of Western Ontario, came to Lisbon last week and gave a talk about a topic I remember hearing about while I was… more →
Theoretical Atlas
Courses in Cambridge (MA), Spring 2012
wrote 3 months ago: There are a couple interesting courses happening this Spring (2012) in the Boston area. Categorical … more →
Preparation for a talk on operads and loop spaces.
wrote 3 months ago: This is my first blog post in a while. It will be different from my previous ones in that not much w … more →
The Comparison Problem in Higher Category Theory
wrote 3 months ago: The history of higher category theory has lead to a wealth of definitions, each built on differing i … more →
The homotopy category doesn't have all colimits
wrote 3 months ago: The homotopy category doesn’t have all colimits. I just learned a nice explicit example of thi … more →
Some simple facts about Bundles on Spheres
wrote 7 months ago: The first time I occur vector bundles on spheres is when I learnt smooth manifolds. At that time, I … more →
Book draft by Jardine on local homotopy theory
wrote 8 months ago: Rick Jardine recently posted a draft on his webpage for a book on local homotopy theory. He writes: … more →
H-space, H-cospace and Homotopy Groups
wrote 9 months ago: We know that there is a quite nature group structure in the set of homotopy classes of the loop spac … more →
Dan Christensen on Diffeological Spaces and Homotopy Theory
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wrote 11 months ago: So Dan Christensen, who used to be my supervisor while I was a postdoc at the University of Western … more →
Transformations as strict groupoids
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wrote 1 year ago: The distinguishing feature of higher-dimensional type theory is the concept of equivalence of the me … more →
Higher-Dimensional Type Theory
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wrote 1 year ago: Ideas have their time, and it’s not for us to choose when they arrive. But when they do, they … more →
Algebraic topology notes
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wrote 1 year ago: I’ve been taking the year-long algebraic topology sequence, which has been really great … more →
HGTQGR Workshop - Part IIa (School)
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wrote 1 year ago: I’d like to continue describing the talks that made up the HGTQGR workshop, in particular the … more →
Eilenberg-MacLane spaces
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wrote 1 year ago: So, today I’m going to talk about Eilenberg-MacLane spaces. These are extremely important in a … more →
The Whitehead theorem
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wrote 1 year ago: Now that we have some initial tools about CW complexes, it is time to prove one of the first really … more →
The cellular approximation theorem (sketch)
wrote 1 year ago: The increased rate of posting the past few days will probably taper off; we’ve just had a long … more →
The compression criterion
wrote 1 year ago: This one will be a quick post. In effect, we continue with last time, where we defined the relative … more →
The Barratt-Puppe sequence
wrote 1 year ago: Note that I changed the theme again. I’ve been spending a lot of time on the basic definition … more →
Examples of cofibrations
wrote 1 year ago: Last time, we explained the idea of a cofibration in terms of a useful homotopy extension property. … more →
Cofibrations
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wrote 1 year ago: The idea of a cofibration will be fundamental as we talk further about homotopy theory, as will its … more →
