Viewing topic: Wedge Of The Circles

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Wedge Of The Circles

  • Definition: Let X be a Hausdorff space that is the union of the subspaces S_1, ... , S_n each of which is homeomorphic to the unit circle S^1. Assume that there is a point p of X such that S_i intersect S_j = {p} whenever i is not equal to j. Then X is called the wedge of the circles S_1, ... , S_n.

    Source: Topology (second edition) by James R. Munkres

  • Example: When given an arbitrary index (finite or infinite) of subspaces S_a: If the topology of X is coherent with the subspaces S_a, then X is called the wedge of the circles S_a.

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