Matrix Groups pp 235-247 | Cite as
Connectivity of Matrix Groups
Chapter
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.
Keywords
Open Subset Homogeneous Space Closed Subgroup Continuous Path Matrix Group
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information
© Springer-Verlag London 2002