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simply-connected

American  
[sim-plee-kuh-nek-tid] / ˈsɪm pli kəˌnɛk tɪd /

adjective

Mathematics.

  1. (of a set or domain) having a connected complement.

  2. (of a set or domain) having the property that every simple closed curve in the set can be shrunk to a point without intersecting the boundary of the set.

Etymology

Origin of simply-connected

First recorded in 1930–35

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

This was inelegant, but it was mathematically guaranteed to work on simply-connected mazes -- and, in fact, Harvey outperformed more sophisticated robots that tried to `learn' each maze by building an internal representation of it.

From The Jargon File, Version 4.2.2, 20 Aug 2000 by Steele, Guy L.

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.