Given any metric space, we construct its uniformly locally pathwise connected coreflection in the category of all metric spaces and uniformly continuous maps.
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Baboolal, D., Pillay, P. A Note on Locally Pathwise Connected Metric Spaces. Appl Categor Struct 16, 495–501 (2008). https://doi.org/10.1007/s10485-007-9096-1
- Metric space
- Locally pathwise connected
- Uniformly locally pathwise connected
Mathematics Subject Classification (2000)