A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
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Robert Bieri (1976)
Inventiones mathematicae
Akhmetiev, Peter M. (1996)
Proceedings of the 15th Winter School "Geometry and Physics"
Shigenori Uehara (1998)
Colloquium Mathematicae
Dennis Sullivan (1979)
Commentarii mathematici Helvetici
Taras Banakh, Robert Cauty (2007)
Banach Center Publications
We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and afterward...
G. Brumfiel, R. Kubelka (1982)
Manuscripta mathematica
L. S. Husch (1972)
Compositio Mathematica
David L. DeGeorge, William L. Reddy (1978/1979)
Mathematische Zeitschrift
Audoux, Benjamin, Fiedler, Thomas (2005)
Algebraic & Geometric Topology
Daryl Cooper, Darren Long (1996)
Commentarii mathematici Helvetici
David Cimasoni, Vladimir Turaev (2006)
Fundamenta Mathematicae
The present paper is a continuation of our previous paper [Topology 44 (2005), 747-767], where we extended the Burau representation to oriented tangles. We now study further properties of this construction.
Margalit, Dan (2002)
Algebraic & Geometric Topology
Micah W. Chrisman (2014)
Banach Center Publications
We construct an infinite commutative lattice of groups whose dual spaces give Kauffman finite-type invariants of long virtual knots. The lattice is based "horizontally" upon the Polyak algebra and extended "vertically" using Manturov's functorial map f. For each n, the n-th vertical line in the lattice contains an infinite-dimensional subspace of Kauffman finite-type invariants of degree n. Moreover, the lattice contains infinitely many inequivalent extensions of the Conway polynomial to long virtual...
Ng, Lenhard (2005)
Algebraic & Geometric Topology
Kurdiani, R., Pirashvili, T. (2002)
Journal of Lie Theory
Stefan Bauer (1989)
Commentarii mathematici Helvetici
Radu Miculescu (2000)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Deǧirmenci, Nedim, Özdemir, Nülifer (2005)
APPS. Applied Sciences
Dan Burghelea (1988)
Mathematische Annalen
D. McMillan (1977)
Fundamenta Mathematicae