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Given a cohomology class $ξ \in H^{2} (M; Z)$ there is a smooth submanifold $K \subset M$ Poincaré dual to $ξ$ . A special class of such embeddings is characterized by topological properties which hold for nonsingular algebraic hypersurfaces in $C P_{n}$ . This note summarizes some results on the question: how does the divisibility of $ξ$ restrict the dual submanifolds $K$ in this class ? A formula for signatures associated with a $d$ -fold ramified cover of $M$ branched along $K$ is given and a proof is included in case $d = 2$ .

On some spaces which are covered by a product space

Izu Vaisman (1977)

Annales de l'institut Fourier

In this note, a topological version of the results obtained, in connection with the de Rham reducibility theorem (Comment. Math. Helv., 26 ( 1952), 328–344), by S. Kashiwabara (Tôhoku Math. J., 8 (1956), 13–28), (Tôhoku Math. J., 11 (1959), 327–350) and Ia. L. Sapiro (Izv. Bysh. Uceb. Zaved. Mat. no6, (1972), 78–85, Russian), (Izv. Bysh. Uceb. Zaved. Mat. no4, (1974), 104–113, Russian) is given. Thus a characterization of a class of topological spaces covered by a product space is obtained and the...

On the classification of compact surfaces admitting cellular decompositions. (Sur la classification des surfaces compactes qui admettent décomposition cellulaire.)

Mihăilă, Janina (2001)

APPS. Applied Sciences

On the covering space and the automorphism group of the covering space.

Tekcan, A., Bayraktar, M., Bizim, O. (2003)

Balkan Journal of Geometry and its Applications (BJGA)

On the embedding of coverings into 1-dimensional bundles.

Knud Lonsted (1980)

Journal für die reine und angewandte Mathematik

On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane

G. R. Conner, J. W. Lamoreaux (2005)

Fundamenta Mathematicae

We prove several results concerning the existence of universal covering spaces for separable metric spaces. To begin, we define several homotopy-theoretic conditions which we then prove are equivalent to the existence of a universal covering space. We use these equivalences to prove that every connected, locally path connected separable metric space whose fundamental group is a free group admits a universal covering space. As an application of these results, we prove the main result of this article,...

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On a Conjecture of Magnus on the Hurwitz Monodromy Group.

On a covering group theorem and its applications.

On Branched Coverings of the 3-Sphere.

On Cyclic Branched Coverings of Spheres.

On Dihedral Covering Spaces of Knots.

On Fox's theory of overlays

On Representing Homology Classes of 4-Manifolds.

On signatures associated with ramified coverings and embedding problems

On some spaces which are covered by a product space

On the classification of compact surfaces admitting cellular decompositions. (Sur la classification des surfaces compactes qui admettent décomposition cellulaire.)

On the covering space and the automorphism group of the covering space.

On the embedding of coverings into 1-dimensional bundles.

On the existence of universal covering spaces for metric spaces and subsets of the Euclidean plane

On the Homeotopy Groups of Surfaces.

On the Hurwitz existence problem.

On the K-Homology of Classifying Spaces.

On the Slice Genus of Knots.

On the Structures of Positively Curved Manifolds with Certain Diameter.

On the Weak Covering Homotopy Property.

One-relator groups and proper 3-realizability.

Currently displaying 1 – 20 of 21