On a theorem of P. S. Aleksandrov
Karno, Zbigniew
Colloquium Mathematicae, Tome 72 (1997), p. 39-51 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:210455 
@article{bwmeta1.element.bwnjournal-article-cmv72i1p39bwm,
     author = {Zbigniew Karno},
     title = {On a theorem of P. S. Aleksandrov},
     journal = {Colloquium Mathematicae},
     volume = {72},
     year = {1997},
     pages = {39-51},
     zbl = {0873.54038},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv72i1p39bwm}
}

Karno, Zbigniew. On a theorem of P. S. Aleksandrov. Colloquium Mathematicae, Tome 72 (1997) pp. 39-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv72i1p39bwm/

[000] [1] P. Alexandroff [P. S. Aleksandrov], Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen, Math. Ann. 106 (1932), 161-238. | Zbl 58.0624.01

[001] [2] D. P. Bellamy and J. A. Kennedy, Factorwise rigidity of products of pseudo-arcs, Topology Appl. 24 (1986), 197-205. | Zbl 0607.54023

[002] [3] C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200-242. | Zbl 0037.10101

[003] [4] R. Engelking, General Topology, Monografie Mat. 60, PWN-Polish Scientific Publishers, 1977.

[004] [5] R. Engelking, Dimension Theory, PWN-Polish Scientific Publishers, North-Holland, 1978.

[005] [6] J. Grispolakis and E. D. Tymchatyn, On confluent mappings and essential mappings - a survey, Rocky Mountain J. Math. 11 (1981), 131-153. | Zbl 0441.54015

[006] [7] N. Hadjiivanov, On products of continua, C. R. Acad. Bulg. Sci. 31 (1978), 1241-1244 (in Russian). | Zbl 0402.54040

[007] [8] W. Holsztyński, Universality of mappings onto the products of snake-like spaces. Relation with dimension, Bull. Acad. Polon. Sci. 16 (1968), 161-167. | Zbl 0155.50604

[008] [9] W. Holsztyński, Universality of the product mappings onto products of In and snake-like spaces, Fund. Math. 64 (1969), 147-155. | Zbl 0185.26801

[009] [10] W. Holsztyński, Universal mappings and a relation to the stable cohomology groups, Bull. Acad. Polon. Sci. 18 (1970), 75-79. | Zbl 0198.56104

[010] [11] Z. Karno, On ω-essential mappings onto manifolds, Fund. Math. 137 (1991), 97-105. | Zbl 0737.54014

[011] [12] J. Krasinkiewicz, Essential mappings onto products of manifolds, in: Geometric and Algebraic Topology, Banach Center Publ. 18, PWN-Polish Scientific Publishers, 1986, 377-406.

[012] [13] K. Lorentz, On products of essential mappings onto intervals, Bull. Polish Acad. Sci. Math. 36 (1988), 403-407. | Zbl 0754.54027

[013] [14] S. Mardešić and J. Segal, Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), 41-59. | Zbl 0222.55017

[014] [15] S. Mardešić and J. Segal, Shape Theory, North-Holland, Amsterdam, 1982.

[015] [16] K. Morita, Čech cohomology and covering dimension for topological spaces, Fund. Math. 87 (1975), 31-52. | Zbl 0336.55003

[016] [17] K. Morita, The Hopf extension theorem for topological spaces, Houston J. Math. 1 (1975), 121-129. | Zbl 0313.55005

[017] [18] E. H. Spanier, Algebraic Topology, Springer, New York, 1966.