Infinite loop spaces from operads with homological stability
نویسندگان
چکیده
منابع مشابه
Knots, Operads and Double Loop Spaces
We show that the space of long knots in an euclidean space of dimension larger than three is a double loop space, proving a conjecture by Sinha. We also construct a double loop space structure on framed long knots, and show that the map forgetting the framing is not a double loop map in odd dimension. However there is always such a map in the reverse direction expressing the double loop space o...
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Let Em denote the space of embeddings of the interval I = [−1, 1] in the cube I with endpoints and tangent vectors at those endpoints fixed on opposite faces of the cube, equipped with an isotopy through immersions to the unknot – see Definition 5.1. By Proposition 5.17, Em is homotopy equivalent to Emb(I, I) × Imm(I, I). In [26], McClure and Smith define a cosimplicial object O• associated to ...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2017
ISSN: 0001-8708
DOI: 10.1016/j.aim.2017.09.036