| 释义 |
simply connected A path-connected topological space is simply connected if any closed curve can be shrunk continuously to (that is, is homotopic to) a point in the space. This is equivalent to the fundamental group being trivial. Intuitively, this means that there are no holes in the space. A disc in two dimensions and a sphere in three dimensions are simply connected, while the annulus, circle, and torus are not.
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