simply connected space

(redirected from Multiply-connected)

simply connected space

[′sim·plē kə¦nek·təd ′spās]
(mathematics)
A topological space whose fundamental group consists of only one element; equivalently, all closed curves can be shrunk to a point.
References in periodicals archive ?
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains.
Three-dimensional voltage-driven problems now can be solved, including problems with multiply-connected regions and problems where the equivalent circuit is difficult to derive, such as in AC machines and ballast transformers.
The vision is that WAND-enabled networks will adapt to changing conditions and mission requirements by adjusting the topology of the network and the operational mode of wireless nodes to create and maintain a rich, multiply-connected network that provides superior communications at lower cost and with enhanced survivability.