Approximable dimension and acyclic resolutions

A. Koyama; R. Sher

Fundamenta Mathematicae (1997)

  • Volume: 152, Issue: 1, page 43-53
  • ISSN: 0016-2736

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Koyama, A., and Sher, R.. "Approximable dimension and acyclic resolutions." Fundamenta Mathematicae 152.1 (1997): 43-53. <http://eudml.org/doc/212198>.

@article{Koyama1997,
abstract = {},
author = {Koyama, A., Sher, R.},
journal = {Fundamenta Mathematicae},
keywords = {approximable dimension; cohomological dimension; acyclic resolution; $UV^\{n-1\}$-resolution; universal space; refinable mapping},
language = {eng},
number = {1},
pages = {43-53},
title = {Approximable dimension and acyclic resolutions},
url = {http://eudml.org/doc/212198},
volume = {152},
year = {1997},
}

TY - JOUR
AU - Koyama, A.
AU - Sher, R.
TI - Approximable dimension and acyclic resolutions
JO - Fundamenta Mathematicae
PY - 1997
VL - 152
IS - 1
SP - 43
EP - 53
AB -
LA - eng
KW - approximable dimension; cohomological dimension; acyclic resolution; $UV^{n-1}$-resolution; universal space; refinable mapping
UR - http://eudml.org/doc/212198
ER -

References

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  2. [2] A. N. Dranishnikov, Homological dimension theory, Russian Math. Surveys 43 (4) (1988), 11-63. Zbl0671.55003
  3. [3] J. Dydak, The Whitehead and the Smale theorems in shape theory, Dissertationes Math. 156 (1979). Zbl0405.55010
  4. [4] J. Dydak and J. Mogilski, Universal cell-like maps, Proc. Amer. Math. Soc. 122 (1994), 943-948. Zbl0823.54026
  5. [5] R. Engelking, Dimension Theory, Math. Library 19, North-Holland, 1978. Zbl0401.54029
  6. [6] W. Hurewicz, Über dimensionserhöhende stetige Abbildungen, J. Reine Angew. Math. 169 (1933), 71-78. 
  7. [7] A. Koyama, Refinable maps in dimension theory, Topology Appl. 17 (1984), 247-255. Zbl0541.54045
  8. [8] A. Koyama, A characterization of compacta which admit acyclic U V n - 1 -resolutions, Tsukuba J. Math. 20 (1996), 115-121. Zbl0888.54033
  9. [9] A. Koyama, Refinable maps in dimension theory II, Bull. Polish Acad. Sci. Math. 42 (1994), 255-261. Zbl0862.54027
  10. [10] A. Koyama and K. Yokoi, A unified approach of characterizations and resolutions for cohomological dimension modulo p, Tsukuba J. Math. 18 (1994), 247-282. Zbl0851.55001
  11. [11] W. Olszewski, Universal separable metrizable spaces of given cohomological dimension, Topology Appl. 61 (1995), 293-299. Zbl0823.54027
  12. [12] L. Rubin and P. Schapiro, Cell-like maps onto non-compact spaces of finite cohomological dimension, Topology Appl. 27 (1987), 221-244. Zbl0646.54038
  13. [13] J. Walsh, Dimension, cohomological dimension, and cell-like mappings, in: Lecture Notes in Math. 870, Springer, 1981, 105-118. 
  14. [14] K. Yokoi, Compactification and factorization theorems for transfinite covering dimension, Tsukuba J. Math. 15 (1991), 389-395. Zbl0789.54042
  15. [15] K. Yokoi, Cohomological dimension modulo p for metrizable spaces, Math. Japon., to appear. Zbl0845.55001

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