Circle Actions on Homotopy Spheres Bounding Generalized Plumbing Manifoids.
Reinhard Schultz (1973)
Mathematische Annalen
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Displaying similar documents to “An Algebraic Model for G-Simple Homotopy Types.”
Circle Actions on Homotopy Spheres Bounding Generalized Plumbing Manifoids.
Minimal Models in Homotopy Theory.
H.J. Baues, J.M. Lemaire (1977)
Mathematische Annalen
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Homotopy algebras via resolutions of operads
Markl, Martin
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Summary: All algebraic objects in this note will be considered over a fixed field of characteristic zero. If not stated otherwise, all operads live in the category of differential graded vector spaces over . For standard terminology concerning operads, algebras over operads, etc., see either the original paper by [“The geometry of iterated loop spaces”, Lect. Notes Math. 271 (1972; Zbl 0244.55009)], or an overview [, “La renaissance des opérads”, Sémin. Bourbaki 1994/95, Exp. No....
The Group of Homotopy Self-Equivalences of Some Compact CW-Complexes*.
B. Schellenberg (1973)
Mathematische Annalen
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The equivariant homotopy type of G-ANR's for proper actions of locally compact groups
Sergey A. Antonyan, Erik Elfving (2009)
Banach Center Publications
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We prove that if G is a locally compact Hausdorff group then every proper G-ANR space has the G-homotopy type of a G-CW complex. This is applied to extend the James-Segal G-homotopy equivalence theorem to the case of arbitrary locally compact proper group actions.
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Dennis Sullivan (2009)
Banach Center Publications
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Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal...
Toward a global understanding of .
Mahowald, Mark (1998)
Documenta Mathematica
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Commuting Homotopy Limits and Colimits.
Michael Mather, Marshall Walker (1980)
Mathematische Zeitschrift
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Dimension Functions of Homotopy Representations for Compact Lie Groups.
Stefan Bauer (1988)
Mathematische Annalen
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Homotopy diagrams of algebras
Markl, Martin
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The paper is concerned with homotopy concepts in the category of chain complexes. It is part of the author’s program to translate [ and , Homotopy invariant algebraic structures on topological spaces, Lect. Notes Math. 347, Springer-Verlag (1973; Zbl 0285.55012)] from topology to algebra.In topology the notion of operad extracts the essential algebraic information contained in the following example (endomorphism operad).The endomorphism operad of a based space consists of the family...