Keywords
- Vector Bundle
- Normal Bundle
- Homotopy Type
- Closed Manifold
- Homology Theory
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Eilenberg S. Problems in Topology.-Ann. Math., 1949, 50, p.246–260.
Thom R. Quelques propriétés globales des variétés différentiables.-Comm. Math. Helv., 1954, 28, p.17–86.
Husemoller D. Fibre bundles.-New York, McGraw-Hill, 1966.
Switzer R. Algebraic topology — homotopy and homology.-Berlin-Heidelberg-New York, Springer-Verlag, 1975.
Borisovich Yu.G. et al. Introduction to topology. Moscow, "Mir", 1985.
Mosher R., Tangora M. Cohomology operations-New York, Harper and Row, 1968.
Cartan H. Séminaire H. Cartan 1954–1955 and 1959–1960, Paris.
Conner P., Floyd E. Differentiable periodic maps.-Berlin-Heidelberg-New York, Springer-Verlag, 1964.
Stong R. Notes on cobordism theory.-Princeton, Princeton Univ. Press, 1968.
Baas N. On the bordism theory of manifolds with singularities.-Math. Scand., 1973, 33, p.279–302.
Rudyak Yu.B. On realization of homological classes by PL-manifolds with singularities.-Matematicheskie zametki, 1987, vol.41, N 5, p.741–749 (in Russian, there exists an English translation).
Dubrovin B., Fomenko A., Novikov S. Modern geometry — Methods and applications. Part II. The geometry and topology of manifolds, Berlin-Heidelberg-New York-Tokyo, Springer-Verlag, 1985.
May J.P. E∞-ring spaces and E∞-ring spectra. Lect. Notes in Math., 577. Berlin-Heidelberg-New York, Springer-Verlag, 1977.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag
About this paper
Cite this paper
Rudyak, Y.B. (1992). The problem of realization of homology classes from Poincare up to the present. In: Borisovich, Y.G., Gliklikh, Y.E., Vershik, A.M. (eds) Global Analysis - Studies and Applications V. Lecture Notes in Mathematics, vol 1520. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084717
Download citation
DOI: https://doi.org/10.1007/BFb0084717
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55583-4
Online ISBN: 978-3-540-47223-0
eBook Packages: Springer Book Archive
