The cohomology of a pull-back on \({\mathbb K}\)-formal spaces
From MaRDI portal
Publication:1862079
DOI10.1016/S0166-8641(01)00265-6zbMath1019.55010MaRDI QIDQ1862079
Publication date: 10 March 2003
Published in: Topology and its Applications (Search for Journal in Brave)
Bar and cobar constructions (57T30) Eilenberg-Moore spectral sequences (55T20) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Applications of Eilenberg-Moore spectral sequences (57T35)
Related Items (4)
The Borel cohomology of the loop space of a homogeneous space ⋮ On the levels of maps and topological realization of objects in a triangulated category ⋮ Upper and lower bounds of the (co)chain type level of a space ⋮ On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators
Cites Work
- The Eilenberg-Moore spectral sequence and the mod 2 cohomology of certain free loop spaces
- A model of Adams-Hilton type for fiber squares
- On the mod p cohomology of the spaces of free loops on the Grassmann and Stiefel manifolds
- The homology of a free loop space
- Module derivations and the adjoint action of a finite loop space
- The rational homotopy theory of certain path spaces with applications to geodesics
- On the existence of infinitely many isometry-invariant geodesics
- \(p\)-formality of spaces
- Universal enveloping algebras and loop space homology
- The Eilenberg-Moore spectral sequence and strongly homotopy multiplicative maps
- Minimal models in homotopy theory
- On the number of invariant closed geodesics
- Noncommutative algebraic models for fiber squares
- How to model the free loop space algebraically
- The cohomology ring of the spaces of loops on Lie groups and homogeneous spaces
- On the Betti number of the space of invariant paths on the space whose cohomology is the exterior algebra with two generators
- On the cohomology of homogeneous spaces
- The real cohomology of differentiable fibre bundles
- The cohomology of stable two stage Postnikov systems
- On the Künneth theorem. I: The Eilenberg-Moore spectral sequence
- Differentials in the Eilenberg-Moore spectral sequence
- Realisation de Morphismes Donnes en Cohomologie et Suite Spectrale D'Eilenberg-Moore
- On the Characteristic Zero Cohomology of the Free Loop Space
- Adams' Cobar Equivalence
- The extension problem and the mod 2 cohomology of the space of loops on Spin (N)
- Eilenberg-Moore Models for Fibrations
- Homological Algebra and the Eilenberg-Moore Spectral Sequence
- On the cohomology algebra of free loop spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The cohomology of a pull-back on \({\mathbb K}\)-formal spaces