Pseudo-interiors of hyperspaces

Nelly Kroonenberg

Compositio Mathematica (1976)

  • Volume: 32, Issue: 2, page 113-131
  • ISSN: 0010-437X

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Kroonenberg, Nelly. "Pseudo-interiors of hyperspaces." Compositio Mathematica 32.2 (1976): 113-131. <http://eudml.org/doc/89284>.

@article{Kroonenberg1976,
author = {Kroonenberg, Nelly},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {113-131},
publisher = {Noordhoff International Publishing},
title = {Pseudo-interiors of hyperspaces},
url = {http://eudml.org/doc/89284},
volume = {32},
year = {1976},
}

TY - JOUR
AU - Kroonenberg, Nelly
TI - Pseudo-interiors of hyperspaces
JO - Compositio Mathematica
PY - 1976
PB - Noordhoff International Publishing
VL - 32
IS - 2
SP - 113
EP - 131
LA - eng
UR - http://eudml.org/doc/89284
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 topological infinite deficiency. Mich. Math. J.14 (1967) 365-383. Zbl0148.37202MR214041
  3. [3] R.D. Anderson: On sigma-compact subsets of infinite-dimensional spaces. Trans. Amer. Math. Soc. (to appear). 
  4. [4] R.D. Anderson, T.A. Chapman: Extending homeomorphisms to Hilbert cube manifolds. Pacific J. of Math.38 (1971) 281-293. Zbl0227.57004MR319204
  5. [5] W. Barit: Small extensions of small homeomorphisms. Notices Amer. Math. Soc.16 (1969) 295. 
  6. [6] C. Bessaga, A. Pelczyński: Estimated extension theorem, homogeneous collections and skeletons and their application to topological classification of linear metric spaces. Fund. Math.69 (1970) 153-190. Zbl0204.12801MR273347
  7. [7] T.A. Chapman: All Hilbert cube manifolds are triangulable. preprint. MR286138
  8. [8] D.W. Curtis, R.M. Schori: Hyperspaces of Peano continua are Hilbert cubes (in preparation). Zbl0409.54044
  9. [9] Ross Geoghegan, R. Richard Summerhill: Pseudo-boundaries and pseudo-interiors in Euclidean spaces and topological manifolds. Trans. Amer. Math. Soc. (to appear). Zbl0288.57001MR356061
  10. [10] D.W. Henderson: Infinite-dimensional manifolds are open subsets of Hilbert space. Bull. Amer. Math. Soc.75 (1969) 759-762. Zbl0179.29101MR247634
  11. [11] D.W. Henderson: Open subsets of Hilbert space. Comp. Math.21 (1969) 312-318. Zbl0179.52102MR251748
  12. [12] D.W. Henderson, R. Schori: Topological classification of infinite-dimensional manifolds by homotopy type. Bull. Amer. Math. Soc.76 (1969) 121-124. Zbl0194.55602MR251749
  13. [13] D.W. Henderson, J.E. West: Triangulated infinite-dimensional manifolds. Bull. Amer. Math. Soc.76 (1970) 655-660. Zbl0203.25806MR258067
  14. [14] R. Schori, J.E. West: 2I is homeomorphic to the Hilbert cube. Bull. Amer. Math. Soc.78 (1972) 402-406. Zbl0242.54006MR309119

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