simply connected


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Related to simply connected: simply connected region

simply connected

adj.
Of, being, or characterized by the property of a surface or other space such that any closed curve within it can be continuously shrunk to a point without leaving the space.
References in periodicals archive ?
The topics are chains and traces, the Maslov index, the simply connected and non-simply connected cases, lunes and traces, arcs, combinatorial lunes, combinatorial Floer homology, hearts, invariance under isotopy, lunes and holomorphic strips, and further developments.
It can be operated by AA batteries or simply connected to the USB port on any PC.
The solution to this problem in the simply connected case was given by Magid in [16, 17].
The above mentioned result on the simply connected case does not apply to the general case for the following reasons:
of G which is the universal (reduced) regular hull of a certain quotient of G described below that coincides with G when G is simply connected (see Definition 10).
are simply connected sheets with boundaries and thus have two distinct surfaces as well as edges," Thomas says.
The appliance is simply connected to the network, and with minimal configuration it protects access to the Internet.
Army communications troops simply connected the VBrick appliance to a video source and plug the VBrick into their high-capacity IP network.
In former times network operators simply connected one party to another party.
Based on Pioneer's popular six-disc CD-ROM changer, the DRM-6NX is "network-ready" and can be simply connected to Ethernet networks without a PC or file server connection.
The Smartbox option can be supplied for situations where a company has no direct Internet access - it is simply connected between fax machine and the telephone socket, with faxed documents being routed transparently across the Internet.
The medical equipment is simply connected to an Octacomm port; the data is repackaged and transmitted in standard Unity(R) Network Ethernet protocol to any hospital system that needs access to the clinical information.