2-sided

2-sided

In topology, a compact codimension one submanifold F of a manifold M is said to be 2-sided in M when there is an embedding ::hcolon F imes [-1,1] o M with h(x,0)=x for each xin F and ::h(F imes [-1,1] )cap partial M=h(partial F imes [-1,1] ).

This means, for example that a curve in a surface is 2-sided if it has a tubular neighborhood which is a cartesian product of the curve times an interval.

A curve which is not 2-sided is called 1-sided.


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  • sided — [ saıdəd ] suffix 1. ) used with numbers to make adjectives describing how many sides an object has: a five sided shape 2. ) used with numbers to make adjectives describing how many people or groups are involved in something: a three sided… …   Usage of the words and phrases in modern English

  • Sided — Sid ed, a. Having (such or so many) sides; used in composition; as, one sided; many sided. [1913 Webster] …   The Collaborative International Dictionary of English

  • -sided — [sīd′id] combining form having (a specified number or kind of) sides [six sided] * * * …   Universalium

  • -sided — [sīd′id] combining form having (a specified number or kind of) sides [six sided] …   English World dictionary

  • sided — Synonyms and related words: bifacial, bilateral, dihedral, flanked, handed, lateral, many sided, multilateral, one sided, polyhedral, quadrilateral, tetrahedral, three sided, trihedral, trilateral, triquetrous, two sided, unilateral …   Moby Thesaurus

  • -sided — [[t] sa͟ɪdɪd[/t]] COMB in ADJ: usu ADJ n sided combines with numbers or adjectives to describe how many sides something has, or what kind of sides something has. → See also one sided ...a three sided pyramid... We drove up a steep sided valley …   English dictionary

  • -sided — UK [saɪdɪd] / US [sɑɪdəd] suffix 1) used with numbers to make adjectives describing how many sides an object has a five sided shape 2) used with some adjectives to make adjectives describing the sides of something a glass sided tank elastic sided …   English dictionary

  • sided — adjective Date: 15th century having sides often of a specified number or kind < one sided > < glass sided > • sidedness noun …   New Collegiate Dictionary

  • sided — /suy did/, adj. having a specified number or kind of sides (often used in combination): five sided; plastic sided. [1425 75; late ME; see SIDE1, ED3] * * * …   Universalium

  • sided — sid•ed [[t]ˈsaɪ dɪd[/t]] adj. cvb having a specified number or kind of sides (usu. used in combination): five sided; plastic sided[/ex] • Etymology: 1425–75 …   From formal English to slang

  • Sided — Side Side, v. i. [imp. & p. p. {Sided}; p. pr. & vb. n. {Siding}.] 1. To lean on one side. [Obs.] Bacon. [1913 Webster] 2. To embrace the opinions of one party, or engage in its interest, in opposition to another party; to take sides; as, to side …   The Collaborative International Dictionary of English

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