Archives
- November 2025
- November 2024
- September 2024
- October 2023
- April 2023
- February 2023
- August 2022
- 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
- compact-open topology
- Conferences
- core of a subgroup
- coreflection functor
- Covering Space Theory
- Dendrite
- earring group
- earring space
- Examples
- Finite groups
- first uncountable ordinal
- 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
- Inverse Limits
- locally n-connected spaces
- locally path connected
- one-dimensional spaces
- Order Theory
- path components
- Peano continuum
- Quasitopological groups
- quasitopological groups
- quotient topology
- reduced paths
- reflection functor
- semicovering
- Shape homotopy group
- Shape theory
- Simplicial complexes
- Singular homology
- topological fundamental group
- Topological groups
- Tree
- Ultrafilter
- Uncategorized
Tweets
Tweets by jtbrazas-
This work is licensed under a Creative Commons Attribution 4.0 International License.
Category Archives: Fundamental group
Celebrating the Career and Contributions of Katsuya Eda: Master of the Earring Group
Last week, I had the pleasure of speaking at the Arches Topology Conference in Moab, Utah. The conference was in honor of the career and contributions of Katsuya Eda, who retired not too long ago. K. Eda considers himself a … Continue reading
Homotopically Hausdorff Spaces (Part II)
In my post homotopically Hausdorff spaces (Part I), I wrote about the property which describes the existence of loops that can be deformed into arbitrarily small neighborhoods but which are not actually null-homotopic, i.e. can’t be deformed all the way back … Continue reading
Homotopically Hausdorff Spaces (Part I)
In previous posts, I wrote about the harmonic archipelago (see also here and here): as well as the Griffiths Twin Cone . One special feature of these 2-dimensional spaces is that any loop either of these spaces can be deformed to lie … Continue reading
Wild Topology 