Abstract
A path, in a space [X, O] (or [X, d]) is a mapping
where [a, b] is a closed interval in R. If p(a) = P and p(b) = Q then p is a path from P to Q. A set M ⊂ X is pathwise connected if for each two points P, Q of M there is a path p: [a, b]→M from P to Q (or from Q to P). If M ⊂ X, and |p| = p([a, b]) ⊂ M, then p is a path in M.
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© 1977 Springer Science+Business Media New York
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Moise, E.E. (1977). Connectivity. In: Geometric Topology in Dimensions 2 and 3. Graduate Texts in Mathematics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9906-6_2
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DOI: https://doi.org/10.1007/978-1-4612-9906-6_2
Publisher Name: Springer, New York, NY
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