simply connected space

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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 ?
The Simply Connected promotion aligns us with like-minded industry challenger T-Mobile to shake up the mobile computing industry with highly competitive offerings.
However, when RouterScreen is simply connected on one port to the LAN and the other port to the router, every piece of traffic received on the LAN port is inspected ("screened") and passed on only if it is Internet-bound.
Anyone who does business on the Internet, has a presence on the Internet or is simply connected to the Internet, must do their part," said Christopher Klaus, founder and chief technology officer for Internet Security Systems (ISS) (Nasdaq: ISSX).
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.