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rel

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English

Preposition

rel

  1. (mathematics) Relative to.
    • 1994, N[ikita] Netsvetaev, "Diffeomorphism Criteria for Simply Connected Even-Dimensional Manifolds", in, Oleg Viro, editor, Topology of Manifolds and Varieties, Advances in Soviet Mathematics [series] 18, American Mathematical Society [publisher], ISBN 0821841246, page 237,
      Since <math>M_0</math> and <math>M_1</math> are cobordant rel boundary and <math>f_0, f_1</math> are n-connected, the number <math>\delta:=\frac12(\mathrm{rk} H_nM_0-\mathrm{rk}H_nM_1)</math> is a nonnnegative integer.
    • 1997, Paul Selick, Introduction to Homotopy Theory, Fields Institute Monographs [series], American Mathematical Society [publisher], ISBN 0821806904, page 15,
      The following notations are in common use: <math>H:f\simeq g</math> (rel A) means that H is a homotopy rel A from f to g....
    • 2002, Allen Hatcher, Algebraic Topology, Cambridge, ISBN 0521795400, page 355,
      Then in <math>n\ge n'</math>, there is a map <math>h:Z\to Z'</math> such that <math>h|A=g</math> and <math>gf\simeq f'h</math> rel A, so the diagram above is commutative up to homotopy rel A.

Dutch

Noun

rel m. (plural rellen, diminutive relletje)

  1. riot

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