= Hawaiian earring
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The Hawaiian earring is the union of a countable family of circles tangent at one point, with their radii tending to zero, endowed with its planar subspace topology. Equivalently it is the <one-point compactification> of a countable disjoint union of real lines. Every neighbourhood of the common point contains all but finitely many whole circles. This compact <topological space> is not locally contractible there and has different <singular homology> from the infinite <CW complex> wedge of circles.
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