Category:Locally Connected Spaces
Jump to navigation
Jump to search
This category contains results about Locally Connected Spaces.
Definitions specific to this category can be found in Definitions/Locally Connected Spaces.
A topological space $T = \struct{S, \tau}$ is locally connected if and only if each point of $T$ has a local basis consisting entirely of connected sets in $T$.
Subcategories
This category has the following 5 subcategories, out of 5 total.
Pages in category "Locally Connected Spaces"
The following 23 pages are in this category, out of 23 total.
C
- Cantor Space is not Locally Connected
- Compact Complement Topology is Locally Connected
- Component of Locally Connected Space is Open
- Connected Space is not necessarily Locally Connected
- Continuous Mapping from Compact Space to Hausdorff Space Preserves Local Connectedness
- Countable Complement Space is Locally Connected