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Disconnectivities are mathematical entities which stand in the way of a Space being contractible (i.e., shrunk to a point, where the shrinking takes place inside the Space itself). When dealing with Topological Spaces, a disconnectivity is interpreted as a ``Hole'' in the space. Disconnectivities in Space are studied through the Extension Problem or the Lifting Problem.

See also Extension Problem, Hole, Lifting Problem

© 1996-9 Eric W. Weisstein