In mathematics, the Hawaiian earring H {\displaystyle \mathbb {H} } is the topological space defined by the union of circles in the Euclidean plane R 2...

standard example of a non-semi-locally simply connected space is the Hawaiian earring. A space X is called semi-locally simply connected if every point in...

connected. The Hawaiian earring is a space which is neither locally simply connected nor simply connected. The cone on the Hawaiian earring is contractible...

many petals is similar to the Hawaiian earring: there is a continuous bijection from this rose onto the Hawaiian earring, but the two are not homeomorphic...

The Dunce hat is contractible, but not collapsible. The cone on a Hawaiian earring is contractible (since it is a cone), but not locally contractible...

cofinite topology Extended real number line Finite topological space Hawaiian earring Hilbert cube Irrational cable on a torus Lakes of Wada Long line Order...

(3)} . A topological space which has no universal covering is the Hawaiian earring: X = ⋃ n ∈ N { ( x 1 , x 2 ) ∈ R 2 : ( x 1 − 1 n ) 2 + x 2 2 = 1 n...

groups of X {\displaystyle X} and Y . {\displaystyle Y.} Smash product Hawaiian earring, a topological space resembling, but not the same as, a wedge sum of...

union of a countable number of copies of the interval (0,1) is the Hawaiian earring. This is different from the wedge of countably many circles, which...

admit a CW decomposition, since it is not locally contractible. The Hawaiian earring is not homotopic to a CW complex. It has no CW decomposition, because...