Archives
- June 2022
- May 2022
- April 2022
- January 2022
- August 2021
- July 2021
- June 2021
- December 2020
- October 2020
- August 2020
- December 2019
- November 2019
- September 2019
- August 2019
- July 2019
- August 2018
- May 2018
- March 2017
- December 2014
- November 2014
- October 2014
- September 2014
- July 2014
- June 2014
- May 2014
- November 2013
- October 2012
- May 2012
Categories
- Algebraic Topology
- Baer-Specker group
- Cardinality
- Categorical Topology
- Category Theory
- Cech expansion
- Conferences
- coreflection functor
- Covering Space Theory
- Dendrite
- earring group
- earring space
- Finite groups
- Free abelian groups
- Free groups
- Fundamental group
- Fundamental groupoid
- General topology
- Generalized covering space theory
- Griffiths twin cone
- Group homomorphisms
- Group theory
- harmonic archipelago
- Higher Homotopy groups
- homotopically Hausdorff
- Homotopy theory
- Infinite Group Theory
- Infinite products
- Inverse Limit
- locally path connected
- one-dimensional spaces
- Order Theory
- Peano continuum
- reduced paths
- semicovering
- Shape homotopy group
- Shape theory
- Simplicial complexes
- Singular homology
- topological fundamental group
- Topological groups
- Tree
- Ultrafilter
- Uncategorized
Tweets
- Taking a break from Twitter for the rest of summer break. Stay cool folks. 3 days ago
- Smh Stuff like this is why I will not do extra work to avoid the axiom of choice. Give me a triple scoop of Zorns l… twitter.com/i/web/status/1… 3 days ago
- Everyone (from Philly or not) should know about and be following the inhumanity of the upcoming eviction of the UC… twitter.com/i/web/status/1… 4 days ago
- RT @Kurt_coVain: In Russia, up to 6 grams of weed is punishable by detention of 15 days. Britney Griner was caught with .7 grams and is now… 1 week ago
- One of my faves. twitter.com/CihanPostsThms… 1 week ago
-
This work is licensed under a Creative Commons Attribution 4.0 International License.
Category Archives: Infinite Group Theory
Infinite Commutativity (Part II)
In Infinite Commutativity: Part I, I described infinite commutativity in general terms with some basic examples, including real infinite series. In this post, I’ll discuss how the homotopy groups , are more than just abelian in the ordinary sense. Their … Continue reading
Infinite Commutativity (Part I)
The Eckmann-Hilton Principle is a classical argument in algebraic topology/algebra. This argument allows you to conclude that an operation which may be expressed in two different ways (imagine that it may be applied both horizontally and vertically when written) is … Continue reading
What is an infinite word?
In this post, we’ll explore the idea of non-commutative infinitary operations on groups, that is, multiplying together infinitely many elements in a group. This idea arises very naturally in “wild” or “infinitary” algebraic topology. In fact, lately, this has been … Continue reading