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A Coherent Homotopy Category of 2-track Commutative Cubes

✍ Scribed by K. A. Hardie; K. H. Kamps; P. J. Witbooi

Publisher: Springer
Year: 2008
Tongue: English
Weight: 418 KB
Volume: 19
Category: Article
ISSN: 0927-2852
DOI: 10.1007/s10485-008-9174-z

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The coherent homotopy category over a fi

The coherent homotopy category over a fixed space is a category of fractions

✍ K.A. Hardie; K.H. Kamps; T. Porter 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 805 KB

The Toda bracket in the homotopy categor

The Toda bracket in the homotopy category of a track bicategory

✍ K.A. Hardie; K.H. Kamps; H.J. Marcum 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 235 KB

We show that the tertiary homotopy composition operation (quaternary Toda bracket) can, with the advantage of reduced indeterminacy, be replaced by a triple Toda bracket in a bicategory with zeros and invertible 2-morphisms. We deÿne the bracket via a pasting operation in such a category, recovering