Category:Locally Path-Connected Spaces
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This category contains results about Locally Path-Connected Spaces.
A topological space $T = \struct{S, \tau}$ is a locally path-connected space if and only if each point of $T$ has a local basis consisting of path-connected sets in $T$.
Also see
Subcategories
This category has only the following subcategory.
Pages in category "Locally Path-Connected Spaces"
The following 17 pages are in this category, out of 17 total.
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- Locally Arc-Connected Space is Locally Path-Connected
- Locally Connected Space is not necessarily Locally Path-Connected
- Locally Path-Connected Space is Locally Connected
- Locally Path-Connected Space is not necessarily Locally Arc-Connected
- Locally Path-Connected Space is not necessarily Path-Connected