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.
Author Archives: Jeremy Brazas
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
Spanier Groups: a modern take on vintage covering space theory
Edwin H. Spanier’s 1966 Algebraic Topology book is a true classic. Well-written and precise, I still find myself referring to it regularly even though it is really “old.” Spanier takes a unique approach to covering space theory that I haven’t … Continue reading
Posted in Uncategorized
Leave a comment
Higher Dimensional Earrings
The (1-dimensional) earring space is a 1-dimensional Peano continuum (connected, locally path-connected, compact metric space) constructed by adjoining a shrinking sequence of circles at a single point. The importance of stems from the fact that this is the prototypical space … Continue reading
Wild Topology 