### Archives

### Categories

- Algebraic Topology
- Baer-Specker group
- Cardinality
- Categorical Topology
- Category Theory
- Conferences
- coreflection functor
- Covering Space Theory
- Finite groups
- Free abelian groups
- Free groups
- Fundamental group
- General topology
- Griffiths twin cone
- Group homomorphisms
- harmonic archipelago
- Hawaiian earring
- Homotopy theory
- Infinite Group Theory
- locally path connected
- Shape theory
- Simplicial complexes
- Ultrafilter
- Uncategorized

### Tweets

- Saturday Morning Breakfast Cereal - Scavenger Hunt smbc-comics.com/comic/scavenge… 3 months ago
- Trying to log into @ADP Cobra election is like being in the Greek Labyrinth where if you find the center you still die via Minotaur. 4 months ago
- "(VIDEO) Families of detained Somalis confront ICE officials in Clarkston" decaturish.com/2017/05/video-… @iamjaret247 @cbrazas 6 months ago
- Happy Teacher Appreciation Week! Where would we be without... lizclimo.tumblr.com/post/160497476… @cbrazas 6 months ago
- "Saturday Morning Breakfast Cereal - Satan-Fingers" smbc-comics.com/comic/satan-fi… #multiplicationtable 7 months ago

# Category Archives: Fundamental group

## Homotopically Hausdorff Spaces II

In my first post on homotopically Hausdorff spaces, 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 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

## The Griffiths Twin Cone

This post is about an important wild space which, in many ways, is similar to the harmonic archipelago space that I posted about a few weeks ago. The Griffiths twin cone (or Griffiths space) was first studied by H.B. Griffiths in the 1950’s … Continue reading