| 单词 | whitney sum |
| 释义 | > as lemmasWhitney sum e. With modifying word, as connected sum, wedge sum, Whitney sum, etc. Any of several algebraic structures produced by combining structures of the same type in a way regarded as analogous to addition.See also direct sum n. at direct adj. and adv. Additions. ΚΠ 1908 Proc. London Math. Soc. 6 109 An algebra, which has a modulus, can be expressed uniquely as the direct sum of a number of irreducible algebras. 1922 Trans. Amer. Math. Soc. 24 144 The following is an example of a countable collection of mutually exclusive, closed, and bounded point sets with connected sum. 1959 Amer. Jrnl. Math. 81 968 This splits into a Whitney sum ξ ⊕ η, where ξ is the bundle of vectors tangent to the fibre and η is the bundle of vectors normal to the fibre. 1985 Jrnl. London Math. Soc. 31 572 The process of forming a band sum of n + 1 knots is more general than the n-fold iterate of the process of forming a band sum of two knots. 2011 Introd. Topological Spaces iii. 68 Every wedge sum of Hausdorff spaces is Hausdorff. < as lemmas |
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