Stable Rank 2 Vector Bundles with Chern-Classes c1 = -1, c2 = 4.
Wolfram Decker (1986)
Mathematische Annalen
Craig A. Jensen (2002)
Publicacions Matemàtiques
It is not known whether or not the stable rational cohomology groups H*(Aut(F∞);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions). We show that either the rational cohomology does not vanish in certain dimensions, or the integral cohomology of a moduli space of pointed graphs does not stabilize in certain other dimensions. Similar results are stated for groups of outer automorphisms. This yields...
Stewart Priddy, Mark Feshbach (1989)
Commentarii mathematici Helvetici
Stewart Priddy, Mark Feshbach (1989)
Commentarii mathematici Helvetici
René P. Held, U. Suter (1975)
Commentarii mathematici Helvetici
K. Knapp (1988)
Commentarii mathematici Helvetici
Carter, J.Scott, Jelsovsky, Daniel, Kamada, Seiichi, Langford, Laurel, Saito, Masahico (1999)
Electronic Research Announcements of the American Mathematical Society [electronic only]
Yu. T. Lisitsa, S. Mardešić (1986)
Banach Center Publications
Robert M. Hardt, Clint G. McCrory (1979)
Compositio Mathematica
David L. Rector (1970)
Commentarii mathematici Helvetici
H. Uehara, B. Al-Hashimi (1974)
Manuscripta mathematica
James P. Lin (1980)
Commentarii mathematici Helvetici
Douglas R. Anderson (1982)
Mathematische Zeitschrift
Bartík, Vojtěch, Korbaš, Július (1984)
Proceedings of the 12th Winter School on Abstract Analysis
Deborah O. Ajayi, Samuel A. Ilori (2002)
Czechoslovak Mathematical Journal
Bruce Hughes (1999)
Fundamenta Mathematicae
Teardrops are generalizations of open mapping cylinders. We prove that the teardrop of a stratified approximate fibration X → Y × ℝ with X and Y homotopically stratified spaces is itself a homotopically stratified space (under mild hypothesis). This is applied to manifold stratified approximate fibrations between manifold stratified spaces in order to establish the realization part of a previously announced tubular neighborhood theory.
Jan Spaliński (2003)
Fundamenta Mathematicae
The fourth axiom of a model category states that given a commutative square of maps, say i: A → B, g: B → Y, f: A → X, and p: X → Y such that gi = pf, if i is a cofibration, p a fibration and either i or p is a weak equivalence, then a lifting (i.e. a map h: B → X such that ph = g and hi = f) exists. We show that for many model categories the two conditions that either i or p above is a weak equivalence can be embedded in an infinite number of conditions which imply the existence of a lifting (roughly,...
Gutiérrez, Javier J. (2005)
Homology, Homotopy and Applications
Meyer, Dagmar M. (2000)
Homology, Homotopy and Applications
Jerzy Dydak, Akira Koyama (2008)
Bulletin of the Polish Academy of Sciences. Mathematics
We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps. We also show that if X is a separable metric ANR and G is a countable Abelian group. Hence for any separable metric ANR X.