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Self fibre homotopy equivalences of fibred products

✍ Scribed by Petar Pavešić

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
117 KB
Volume
102
Category
Article
ISSN
0166-8641

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✦ Synopsis

We describe a method for the computation of the group of automorphisms Aut C (X × Y ) of a product object in an arbitrary category C, when some special properties are satisfied. This method is then applied to the computation of the group of self fibre homotopy equivalences of a fibred product. Some typical examples are considered.

📜 SIMILAR VOLUMES

Rational homotopy nilpotency of self-equ
Rational homotopy nilpotency of self-equivalences
✍ Paolo Salvatore 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 943 KB

We study the homotopy nilpotency, after rationalization, of some spaces of self-homotopy equivalences of a finite, simply connected CW-complex.

The group of self homotopy equivalences
The group of self homotopy equivalences of some localized aspherical complexes
✍ A. Garvín; A. Murillo; J. Remedios; A. Viruel 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 119 KB

## Abstract By studying the group of self homotopy equivalences of the localization (at a prime __p__ and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent, ℰ^__m__^ ~#~(__X__~__p__~ ) is in general different from ℰ^__m__^ ~#~(__X__)_