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.
The authors have structured the chapters so readers can use each independently, making the first accessible to function theorists unskilled in operator theory and operator theorists unaccustomed to function theory, the second most likely to be used by experts in operator theory, and the third available to those interested in computational theory of multiply-connected domains who choose not to study the operator theories of the first and second chapters.
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.