A new technique for the link slice problem.
Michael H. Freedman (1985)
Inventiones mathematicae
Jarolím Bureš, Jiří Vanžura (1980)
Commentationes Mathematicae Universitatis Carolinae
Lim, Yuhan (2003)
Geometry & Topology
D. W. MacLean (1973)
Czechoslovak Mathematical Journal
C. R. Guilbault (2001)
Fundamenta Mathematicae
We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
Ian Hambleton, Peter Teichner (1997)
Manuscripta mathematica
P. Manoharan (1992)
Mathematische Zeitschrift
Turaev, Vladimir (2002)
Algebraic & Geometric Topology
Taizo Kanenobu (1981)
Mathematische Annalen
François Laudenbach, Valentin Poénaru (1972)
Bulletin de la Société Mathématique de France
J. H. Rubinstein, C. Gardiner (1979)
Compositio Mathematica
Paola Bandieri, Francesca Predieri (1995)
Manuscripta mathematica
Adam Sikora (1996)
Colloquium Mathematicae
Sakuma, Kazuhiro (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
Jianwei Zhou (2006)
Czechoslovak Mathematical Journal
This paper studies the relationship between the sections and the Chern or Pontrjagin classes of a vector bundle by the theory of connection. Our results are natural generalizations of the Gauss-Bonnet Theorem.
Martin Markl (1982)
Commentationes Mathematicae Universitatis Carolinae
Carlo Petronio (1999)
Rendiconti del Seminario Matematico della Università di Padova
A. W. M. Dress (1989)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Tohru Nakashima (1994)
Forum mathematicum
Tomasz Rybicki (1998)
Annales Polonici Mathematici
Generalized flag structures occur naturally in modern geometry. By extending Stefan's well-known statement on generalized foliations we show that such structures admit distinguished charts. Several examples are included.