rel

English

Preposition

rel

1. (mathematics) Abbreviation of 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, page 237,
Since ${\displaystyle M_{0}}$ and ${\displaystyle M_{1}}$ are cobordant rel boundary and ${\displaystyle f_{0},f_{1}}$ are n-connected, the number ${\displaystyle \delta :={\frac {1}{2}}(\mathrm {rk} H_{n}M_{0}-\mathrm {rk} H_{n}M_{1})}$ is a nonnnegative integer.
• 1997, Paul Selick, Introduction to Homotopy Theory, Fields Institute Monographs [series], American Mathematical Society [publisher], →ISBN, page 15,
The following notations are in common use: ${\displaystyle H:f\simeq g}$ (rel A) means that H is a homotopy rel A from f to g....
• 2002, Allen Hatcher, Algebraic Topology, Cambridge, →ISBN, page 355,
Then in ${\displaystyle n\geq n'}$, there is a map ${\displaystyle h:Z\to Z'}$ such that ${\displaystyle h|A=g}$ and ${\displaystyle gf\simeq f'h}$ rel A, so the diagram above is commutative up to homotopy rel A.

Catalan

Noun

rel f (plural rels)

1. Alternative form of arrel

Dutch

Pronunciation

• IPA(key): /rɛl/
•  Audio (file)
• Rhymes: -ɛl

Noun

rel m (plural rellen, diminutive relletje n)

1. riot

rel

Volapük

Noun

rel (plural rels)

1. religion