On the division by the circle
On the embedding of coverings into 1-dimensional bundles.
On the equivariant homotopy of spheres [Book]
On the essential height of homotopy trees with finite fundamental group
On the evaluation map.
On the exact completion of the homotopy category
On the existence and classification of Co-H-structures.
On the existence of 2-fields in 8-dimensional vector bundles over 8-complexes
Necessary and sufficient conditions for the existence of two linearly independent sections in an 8-dimensional spin vector bundle over a CW-complex of the same dimension are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
On the existence of parallel normal vector fields of surfaces in
On the Existence of Solutions of Certain Asymptotically Homogeneous Problems.
On the Extension of Certain Maps with Values in Spheres
Let E be an oriented, smooth and closed m-dimensional manifold with m ≥ 2 and V ⊂ E an oriented, connected, smooth and closed (m-2)-dimensional submanifold which is homologous to zero in E. Let be the standard inclusion, where Sⁿ is the n-sphere and n ≥ 3. We prove the following extension result: if is a smooth map, then h extends to a smooth map g: E → Sⁿ transverse to and with . Using this result, we give a new and simpler proof of a theorem of Carlos Biasi related to the ambiental bordism...
On the Farrell cohomology of mapping class groups.
On the fiber-preserving maps
On the Finiteness Obstruction of Nilpotent Spaces of the Same Genus.
On the finiteness of the fundamental group of a compact shrinking Ricci soliton
Myers's classical theorem says that a compact Riemannian manifold with positive Ricci curvature has finite fundamental group. Using Ambrose's compactness criterion or J. Lott's results, M. Fernández-López and E. García-Río showed that the finiteness of the fundamental group remains valid for a compact shrinking Ricci soliton. We give a self-contained proof of this fact by estimating the lengths of shortest geodesic loops in each homotopy class.
On the first homology of Peano continua
We show that the first homology group of a locally connected compact metric space is either uncountable or finitely generated. This is related to Shelah's well-known result (1988) which shows that the fundamental group of such a space satisfies a similar condition. We give an example of such a space whose fundamental group is uncountable but whose first homology is trivial, showing that our result does not follow from Shelah's. We clarify a claim made by Pawlikowski (1998) and offer a proof of the...
On the fixed point formula for Atiyah and Bott
On the fixed point index and the Nielsen fixed point theorem of symmetric product mappings
On the form of principal torus-bundles over toruses
On the formality of equivariant classifying spaces.