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(view preamble)
See Also: simple path, distance (in a graph), locally connected, example of a connected space that is not path-connected, (path) connectness as a homotopy invariant
| Other names: |
pathwise connected, path-connected, path connected |
| Also defines: |
path, arc, arcwise connected, initial point, terminal point |
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Cross-references: iff, Hausdorff spaces, connected space, analytic, rectifiable paths, piecewise, differentiable, classes, structure, homeomorphism, reparameterization, equivalent, one-to-one, map, addition, point, continuous map, topological space
There are 128 references to this entry.
This is version 11 of path, born on 2001-11-17, modified 2006-12-13.
Object id is 942, canonical name is PathConnected.
Accessed 15200 times total.
Classification:
| AMS MSC: | 54D05 (General topology :: Fairly general properties :: Connected and locally connected spaces ) |
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Pending Errata and Addenda
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