Abstract
Let X be a topological space.
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X is connected if whenever X = U ∪ V with (U, V ≠ ⊘ both open subsets, then U ∪ V ≠ ⊘.
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X is path connected if whenever x,y ∈ X, there is a continuous path p: [0,1] → X with p(0) = x and p(1)= y.
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X is locally path connected if every point is contained in a path connected open neighbourhood.
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© 2002 Springer-Verlag London
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Baker, A. (2002). Connectivity of Matrix Groups. In: Matrix Groups. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-1-4471-0183-3_9
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DOI: https://doi.org/10.1007/978-1-4471-0183-3_9
Publisher Name: Springer, London
Print ISBN: 978-1-85233-470-3
Online ISBN: 978-1-4471-0183-3
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