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1-Connected is a tautogram (all words start with the same letter). View more tautograms!

Definition of the adjective 1-Connected

What does 1-Connected mean as an attribute of a noun?


  1. [topology, of a topological space] Having a singleton as its fundamental group.

Printed dictionaries and other books with definitions for 1-Connected

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Google previewSimplicial Complexes of Graphs (2007)

by Jakob Jonsson

For example, G being 1-connected means that G is connected.

Google previewDictionary of Classical and Theoretical Mathematics (2001)

by Catherine Cavagnaro, William T. Haight, II

The one point union of infinitely many n-spheres, with the weak topology, is locally n − 1-connected but not locally n-connected. logical connective Used to build new propositional (sentential) or first-order formulas from existing ones. The usual ...

Google previewEncyclopedic Dictionary of Mathematics (1993)

by Kiyosi Itô

A 1-connected space is also called simply connected. (For simple connectedness and n-ply connectedness of plane domains —333 Plane Domains) A topological space X is said to be ...

Google previewEncyclopaedia of Mathematics (2012)

Supplement by Michiel Hazewinkel

asserts that co-product cancellation fails for finite CW-complexes; there exist 1-connected 2-cell CW-complexes V, ...

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Video about 1-Connected

1-connected Meaning

Video shows what 1-connected means. Having a singleton as its fundamental group.. 1-connected Meaning. How to pronounce, definition audio dictionary.

Quotes about 1-Connected

It is chiefly in New York that I feel induced to urge this, because New York is, by innumerable ties, connected with Europe - more connected than several parts of Europe itself. (Lajos Kossuth)
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