Zero-dimensional open mappings which increase dimension

Alex Chigogidze

Commentationes Mathematicae Universitatis Carolinae (1983)

  • Volume: 024, Issue: 4, page 571-579
  • ISSN: 0010-2628

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Chigogidze, Alex. "Zero-dimensional open mappings which increase dimension." Commentationes Mathematicae Universitatis Carolinae 024.4 (1983): 571-579. <http://eudml.org/doc/17278>.

@article{Chigogidze1983,
author = {Chigogidze, Alex},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {open mapping; absolute extensor; positive-dimensional compactum; image of a 1-dimensional compactum; 0-soft mapping},
language = {eng},
number = {4},
pages = {571-579},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Zero-dimensional open mappings which increase dimension},
url = {http://eudml.org/doc/17278},
volume = {024},
year = {1983},
}

TY - JOUR
AU - Chigogidze, Alex
TI - Zero-dimensional open mappings which increase dimension
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 4
SP - 571
EP - 579
LA - eng
KW - open mapping; absolute extensor; positive-dimensional compactum; image of a 1-dimensional compactum; 0-soft mapping
UR - http://eudml.org/doc/17278
ER -

References

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  1. P. S. ALKLUTOROV B. A PASYNKOV, Introduction to Dimension Theory, (Nauka, Moscow, 1973). (1973) 
  2. A. CHIGOGIDZE, On a generaliaiation of perf eotly normal spaces, Topology Appl. 13 (1982), 15-20. (1982) MR0637423
  3. R. ENGEKING, General Topology, (PWN, Warssawa, 1977). (1977) 
  4. V. V. FEDORČUK, On the dimenBioa of k-metrisable hiooapacta, in particular Dugundji spaces, Dokl. Akad. Nauk SSS1 234 (1977), 30-33. (1977) MR0451213
  5. B. HOFFMAN, Locally Dugundji spaces aad quotient spaces of locally compact groups, Quart. J. Math. 31 (1980), 181-190. (1980) MR0576336
  6. L. KELDYŠ, An example of a one-dimenaional continuus which can be mapped onto a square by a zerodimensional open napping, Dokl. Akad. Nauk SSSR 97 (1954), 201-204. (1954) MR0063030
  7. A. KOLMOGOROV, Über offens Abbildungen, Ann. of Math. 38 (1937), 36-38. (1937) 
  8. K. KURATOWSKI, Topology, toI. 1 (Academic Press, New York 1966). (1966) Zbl0163.17002MR0217751
  9. E. MICHAEL, Selected selection theorems, Amer. Math. Monthly 63 (1956), 233-238. (1956) Zbl0070.39502MR1529282
  10. B. A. PASYNKOV, Zero-dimensional open mappings which arise dimension, Uspehi Mat. Nauk 18 (1963), 183-190. (1963) MR0156320
  11. E. V. ŠČEPIN, Functors and uncountable powers of compacta, Uspehi Mat. Nauk 36 (1981), 3-62. (1981) MR0622720
  12. B. C. WILSON, Open mappings of the universal curve onto continuous curves, Trans. Amer. Math. Soc. 168 (1972), 497-515. (1972) Zbl0239.54007MR0298630

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