Hyperspaces of noncompact metric spaces

D. W. Curtis

Compositio Mathematica (1980)

  • Volume: 40, Issue: 2, page 139-152
  • ISSN: 0010-437X

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Curtis, D. W.. "Hyperspaces of noncompact metric spaces." Compositio Mathematica 40.2 (1980): 139-152. <http://eudml.org/doc/89430>.

@article{Curtis1980,
author = {Curtis, D. W.},
journal = {Compositio Mathematica},
keywords = {absolute retract; Hilbert cube; Peano compactification; Hilbert space},
language = {eng},
number = {2},
pages = {139-152},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Hyperspaces of noncompact metric spaces},
url = {http://eudml.org/doc/89430},
volume = {40},
year = {1980},
}

TY - JOUR
AU - Curtis, D. W.
TI - Hyperspaces of noncompact metric spaces
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 40
IS - 2
SP - 139
EP - 152
LA - eng
KW - absolute retract; Hilbert cube; Peano compactification; Hilbert space
UR - http://eudml.org/doc/89430
ER -

References

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  1. [1] R.D. Anderson: Hilbert space is homeomorphic to the countable infinite product of lines. Bull. Amer. Math. Soc.72 (1966) 515-519. Zbl0137.09703MR190888
  2. [2] R.D. Anderson: On sigma-compact subsets of infinite-dimensional spaces, (unpublished manuscript). 
  3. [3] C.R. Borges: Notices Amer. Math. Soc.22 (1975) 75T-G118 and 23 (1976), 731-54-10. 
  4. [4] D.W. Curtis: Growth hyperspaces of Peano continua. Trans. Amer. Math. Soc.238 (1978) 271-283. Zbl0344.54009MR482919
  5. [5] D.W. Curtis: Hyperspaces homeomorphic to Hilbert space. Proc. Amer. Math. Soc.75 (1979) 126-130. Zbl0378.54004MR529228
  6. [6] D.W. Curtis and R.M. Schori: 2X and C(X) are homeomorphic to the Hilbert cube. Bull. Amer. Math. Soc.80 (1974) 927-931. Zbl0302.54011MR353235
  7. [7] D.W. Curtis and R.M. Schori: Hyperspaces which characterize simple homotopy type. Gen. Top. and its Applications6 (1976) 153-165. Zbl0328.54003MR394684
  8. [8] D.W. Curtis and R.M. Schori: Hyperspaces of Peano continua are Hilbert cubes. Fund. Math.101 (1978) 19-38. Zbl0409.54044MR512241
  9. [9] J. Dugundji: Absolute neighborhood retracts and local connectedness in arbitrary metric spaces. Comp. Math.13 (1958) 229-246. Zbl0089.38903MR113217
  10. [10] J.G. Hocking and G.S. Young: Topology. Addison-Wesley, 1961, Reading, Mass. Zbl0135.22701MR125557
  11. [11] J.L. Kelley: Hyperspaces of a continuum. Trans. Amer. Math. Soc.52 (1942) 22-36. Zbl0061.40107MR6505
  12. [12] N. Kroonenberg: Pseudo-interiors of hyperspaces. Comp. Math.32 (1976) 113-131. Zbl0336.54008MR413109
  13. [13] U. Tasmetov: On the connectedness of hyperspacesSoviet Math. Dokl.15 (1974) 502-504. Zbl0297.54009MR341375
  14. [14] H. Torunczyk: Characterizing Hilbert space topology (preprint). Zbl0468.57015MR611763
  15. [15] M. Wojdyslawski: Retractes absolus et hyperespaces des continus. Fund. Math.32 (1939) 184-192. Zbl0021.36001JFM65.0880.03

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