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1
Content available remote

On the fundamental dimension of the Cartesian product of compacta with the fundamental dimension 2

100%
Spież S.
Fundamenta Mathematicae
|
1983
|
tom 116
|
nr 1
17-32
2
Content available remote

On the Extension of Certain Maps with Values in Spheres

82%
Biasi C., Libardi A., Pergher P., Spież S.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2008
|
tom 56
|
nr 2
177-182
EN
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 $S^{n-2} ⊂ Sⁿ$ be the standard inclusion, where Sⁿ is the n-sphere and n ≥ 3. We prove the following extension result: if $h: V → S^{n-2}$ is a smooth map, then h extends to a smooth map g: E → Sⁿ transverse to $S^{n-2}$ and with $g^{-1}(S^{n-2}) = V$. Using this result, we give a new and simpler proof of a theorem of Carlos Biasi related to the ambiental bordism question, which asks whether, given a smooth closed n-dimensional manifold E and a smooth closed m-dimensional submanifold V ⊂ E, one can find a compact smooth (m+1)-dimensional submanifold W ⊂ E such that the boundary of W is V.
3
Content available remote

Divisibility properties of generalized Vandermonde determinants

82%
Spież S., Urbanowicz J., van Wamelen P.
Acta Arithmetica
|
2003
|
tom 110
|
nr 4
361-379
4
Content available remote

Remarks on the n-dimensional geometric measure of compacta

81%
Borsuk K., Nowak S., Spież S.
Fundamenta Mathematicae
|
1984
|
tom 121
|
nr 1
59-71
5
Content available remote

Imbeddings in $R^{2m}$ of m-dimensional compacta with dim(Х×Х)<2m

70%
Spież S.
Fundamenta Mathematicae
|
1990
|
tom 134
|
nr 2
105-115
6
Content available remote

The Hurewicz and Whitehead theorems with compact carriers

70%
Spież S.
Fundamenta Mathematicae
|
1987
|
tom 127
|
nr 3
197-212
7
Content available remote

Remarks on intrinsic isometries

61%
Olędzki J., Spież S.
Fundamenta Mathematicae
|
1983
|
tom 119
|
nr 3
241-247
8
Content available remote

On embedding curves in two-dimensional polyhedra

61%
Olędzki J., Spież S.
Fundamenta Mathematicae
|
1984
|
tom 122
|
nr 1
47-55
9
Content available remote

The structure of compacta satisfying dim(X×X) < 2dimX

60%
Spież S.
Fundamenta Mathematicae
|
1990
|
tom 135
|
nr 2
127-145
10
Content available remote

On a shape characterization of some two-polyhedra

60%
Spież S.
Fundamenta Mathematicae
|
1983
|
tom 116
|
nr 1
39-51
11
Content available remote

On pairs of compacta with dim(X×Y) < dimX + dimY

60%
Spież S.
Fundamenta Mathematicae
|
1990
|
tom 135
|
nr 3
213-222
12
Content available remote

Remarks on deformability

51%
Nowak S., Spież S.
Fundamenta Mathematicae
|
1985
|
tom 125
|
nr 2
95-103
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