Rational obstruction theory and rational homotopy sets

DOI10.1007/s002090000144zbMath0968.55005arXivmath/0010126OpenAlexW1983660161MaRDI QIDQ5926366

Martin Arkowitz, Gregory Lupton

Publication date: 23 September 2001

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0010126

zbMATH Keywords

homotopy equivalencesrational homotopy theorysets of homotopy classes

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Rational homotopy theory (55P62) Homotopy groups, general; sets of homotopy classes (55Q05) Obstruction theory in algebraic topology (55S35)

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Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences ⋮ The effect of cell-attachment on the group of self-equivalences of an elliptic space ⋮ Certain maps preserving self-homotopy equivalences ⋮ Positive weights and self-maps ⋮ Degrees of maps and multiscale geometry ⋮ Every finite group is the group of self-homotopy equivalences of an elliptic space ⋮ Unnamed Item ⋮ The effect of cell-attachment on the group of self-equivalences of an \(R\)-localized space ⋮ Plato's cave and differential forms ⋮ Homotopically rigid Sullivan algebras and their applications ⋮ On the group of self-homotopy equivalences of an elliptic space ⋮ Integral and rational mapping classes ⋮ Realisability problem in arrow categories ⋮ Functorial seminorms on singular homology and (in)flexible manifolds

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