ArticleOriginal scientific text

Title

On a theorem of P. S. Aleksandrov

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University at Białystok, Akademicka 2, 15-267 Białystok 1, Poland

Keywords

compact metric space, pinch, cone, dimension, modification, essential mapping, product

Bibliography

  1. P. Alexandroff [P. S. Aleksandrov], Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen, Math. Ann. 106 (1932), 161-238.
  2. D. P. Bellamy and J. A. Kennedy, Factorwise rigidity of products of pseudo-arcs, Topology Appl. 24 (1986), 197-205.
  3. C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200-242.
  4. R. Engelking, General Topology, Monografie Mat. 60, PWN-Polish Scientific Publishers, 1977.
  5. R. Engelking, Dimension Theory, PWN-Polish Scientific Publishers, North-Holland, 1978.
  6. J. Grispolakis and E. D. Tymchatyn, On confluent mappings and essential mappings - a survey, Rocky Mountain J. Math. 11 (1981), 131-153.
  7. N. Hadjiivanov, On products of continua, C. R. Acad. Bulg. Sci. 31 (1978), 1241-1244 (in Russian).
  8. W. Holsztyński, Universality of mappings onto the products of snake-like spaces. Relation with dimension, Bull. Acad. Polon. Sci. 16 (1968), 161-167.
  9. W. Holsztyński, Universality of the product mappings onto products of In and snake-like spaces, Fund. Math. 64 (1969), 147-155.
  10. W. Holsztyński, Universal mappings and a relation to the stable cohomology groups, Bull. Acad. Polon. Sci. 18 (1970), 75-79.
  11. Z. Karno, On ω-essential mappings onto manifolds, Fund. Math. 137 (1991), 97-105.
  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.
  13. K. Lorentz, On products of essential mappings onto intervals, Bull. Polish Acad. Sci. Math. 36 (1988), 403-407.
  14. S. Mardešić and J. Segal, Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), 41-59.
  15. S. Mardešić and J. Segal, Shape Theory, North-Holland, Amsterdam, 1982.
  16. K. Morita, Čech cohomology and covering dimension for topological spaces, Fund. Math. 87 (1975), 31-52.
  17. K. Morita, The Hopf extension theorem for topological spaces, Houston J. Math. 1 (1975), 121-129.
  18. E. H. Spanier, Algebraic Topology, Springer, New York, 1966.
Pages:
39-51
Main language of publication
English
Received
1995-11-28
Accepted
1996-04-01
Published
1997
Exact and natural sciences