The rack space
The rack space
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机架空间
DOI：
10.1090/s0002-9947-06-03912-2
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
B. Sanderson
中科院分区：
文献类型：
--
作者：
R. Fenn;C. Rourke;B. Sanderson
本文的主要成果是一个新的连杆分类定理（余维2上的光滑嵌入）。分类空间为机架空间，分类束为第一詹姆斯束。
The main result of this paper is a new classification theorem for links (smooth embeddings in codimension 2). The classifying space is the rack space and the classifying bundle is the first James bundle.
We investigate the algebraic topology of this classifying space and report on calculations given elsewhere. Apart from de. ning many new knot and link invariants (including generalised James-Hopf invariants), the classification theorem has some unexpected applications. We give a combinatorial interpretation for pi(2) of a complex which can be used for calculations and some new interpretations of the higher homotopy groups of the 3-sphere. We also give a cobordism classification of virtual links.