On a shape characterization of some two-polyhedra
On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2
Imbeddings in of m-dimensional compacta with dim(Х×Х)<2m
The structure of compacta satisfying dim(X×X) < 2dimX
On pairs of compacta with dim(X×Y) < dimX + dimY
The Hurewicz and Whitehead theorems with compact carriers
On embedding curves in two-dimensional polyhedra
Remarks on intrinsic isometries
Remarks on deformability
Divisibility properties of generalized Vandermonde determinants
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...
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