On a theorem of P. S. Aleksandrov

Zbigniew Karno

Colloquium Mathematicae (1997)

  • Volume: 72, Issue: 1, page 39-51
  • ISSN: 0010-1354

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Karno, Zbigniew. "On a theorem of P. S. Aleksandrov." Colloquium Mathematicae 72.1 (1997): 39-51. <http://eudml.org/doc/210455>.

@article{Karno1997,
author = {Karno, Zbigniew},
journal = {Colloquium Mathematicae},
keywords = {compact metric space; pinch; cone; dimension; modification; essential mapping; product; essential map},
language = {eng},
number = {1},
pages = {39-51},
title = {On a theorem of P. S. Aleksandrov},
url = {http://eudml.org/doc/210455},
volume = {72},
year = {1997},
}

TY - JOUR
AU - Karno, Zbigniew
TI - On a theorem of P. S. Aleksandrov
JO - Colloquium Mathematicae
PY - 1997
VL - 72
IS - 1
SP - 39
EP - 51
LA - eng
KW - compact metric space; pinch; cone; dimension; modification; essential mapping; product; essential map
UR - http://eudml.org/doc/210455
ER -

References

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  1. [1] P. Alexandroff [P. S. Aleksandrov], Dimensionstheorie. Ein Beitrag zur Geometrie der abgeschlossenen Mengen, Math. Ann. 106 (1932), 161-238. Zbl58.0624.01
  2. [2] D. P. Bellamy and J. A. Kennedy, Factorwise rigidity of products of pseudo-arcs, Topology Appl. 24 (1986), 197-205. Zbl0607.54023
  3. [3] C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200-242. Zbl0037.10101
  4. [4] R. Engelking, General Topology, Monografie Mat. 60, PWN-Polish Scientific Publishers, 1977. 
  5. [5] R. Engelking, Dimension Theory, PWN-Polish Scientific Publishers, North-Holland, 1978. 
  6. [6] J. Grispolakis and E. D. Tymchatyn, On confluent mappings and essential mappings - a survey, Rocky Mountain J. Math. 11 (1981), 131-153. Zbl0441.54015
  7. [7] N. Hadjiivanov, On products of continua, C. R. Acad. Bulg. Sci. 31 (1978), 1241-1244 (in Russian). Zbl0402.54040
  8. [8] W. Holsztyński, Universality of mappings onto the products of snake-like spaces. Relation with dimension, Bull. Acad. Polon. Sci. 16 (1968), 161-167. Zbl0155.50604
  9. [9] W. Holsztyński, Universality of the product mappings onto products of I n and snake-like spaces, Fund. Math. 64 (1969), 147-155. Zbl0185.26801
  10. [10] W. Holsztyński, Universal mappings and a relation to the stable cohomology groups, Bull. Acad. Polon. Sci. 18 (1970), 75-79. Zbl0198.56104
  11. [11] Z. Karno, On ω-essential mappings onto manifolds, Fund. Math. 137 (1991), 97-105. Zbl0737.54014
  12. [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. [13] K. Lorentz, On products of essential mappings onto intervals, Bull. Polish Acad. Sci. Math. 36 (1988), 403-407. Zbl0754.54027
  14. [14] S. Mardešić and J. Segal, Shapes of compacta and ANR-systems, Fund. Math. 72 (1971), 41-59. Zbl0222.55017
  15. [15] S. Mardešić and J. Segal, Shape Theory, North-Holland, Amsterdam, 1982. 
  16. [16] K. Morita, Čech cohomology and covering dimension for topological spaces, Fund. Math. 87 (1975), 31-52. Zbl0336.55003
  17. [17] K. Morita, The Hopf extension theorem for topological spaces, Houston J. Math. 1 (1975), 121-129. Zbl0313.55005
  18. [18] E. H. Spanier, Algebraic Topology, Springer, New York, 1966. 

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