On the structure of Hilbert cube manifolds

T. A. Chapman

Compositio Mathematica (1972)

  • Volume: 24, Issue: 3, page 329-353
  • ISSN: 0010-437X

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Chapman, T. A.. "On the structure of Hilbert cube manifolds." Compositio Mathematica 24.3 (1972): 329-353. <http://eudml.org/doc/89125>.

@article{Chapman1972,
author = {Chapman, T. A.},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {329-353},
publisher = {Wolters-Noordhoff Publishing},
title = {On the structure of Hilbert cube manifolds},
url = {http://eudml.org/doc/89125},
volume = {24},
year = {1972},
}

TY - JOUR
AU - Chapman, T. A.
TI - On the structure of Hilbert cube manifolds
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 24
IS - 3
SP - 329
EP - 353
LA - eng
UR - http://eudml.org/doc/89125
ER -

References

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  1. R.D. Anderson [1] On sigma-compact subsets of infinite-dimensional spaces, Trans. Amer. Math. Soc. (to appear). 
  2. R.D. Anderson And R.H. Bing [2] A complete elementary proof that Hilbert space is homeomorphic to the countable infinite product of lines, Bull. Amer. Math. Soc.74 (1968), 771-792. Zbl0189.12402MR230284
  3. R.D. Anderson And T.A. Chapman [3] Extending homeomorphisms to Hilbert cube manifolds, Pac. J. of Math.38 (1971), 281-293. Zbl0227.57004MR319204
  4. R.D. Anderson AND R. Schori [4] A factor theorem for Fréchet manifolds, Bull. Amer. Math. Soc., 75 (1969), 53-56. Zbl0195.53601MR233382
  5. [5] Factors of infinite-dimensional manifolds, Trans. Amer. Math. Soc.142 (1969), 315-330. Zbl0187.20505MR246327
  6. T.A. Chapman [6] Dense sigma-compact subsets of infinite-dimensional manifolds, Trans. Amer. Math. Soc.154 (1971), 399-426. Zbl0208.51903MR283828
  7. William H. Cutler [7] Deficiency in F-manifolds, preprint. Zbl0236.57004MR298710
  8. D.W. Henderson [8] Open subsets of Hilbert space, Compositio Math.21 (1969), 312-318. Zbl0179.52102MR251748
  9. D.W. Henderson [9] Infinite-dimensional manifolds are open subsets of Hilbert space, Bull. Amer. Math. Soc.75 (1969), 759-762. Zbl0179.29101MR247634
  10. D.W. Henderson And R. Schori [10] Topological classification of infinite-dimensional manifolds by homotopy type, Bull. Amer. Math. Soc.76 (1969), 121-124. Zbl0194.55602MR251749
  11. J. Milnor [11] On spaces having the homotopy of a CW-complex, Trans. Amer. Math. Soc.90 (1959), 272-280. Zbl0084.39002MR100267
  12. R.S. Palais [12] Homotopy theory of infinite-dimensional manifolds, Topology5 (1966), 1-16. Zbl0138.18302MR189028
  13. D.E. Sanderson [13] An infinite-dimensional Schoenflies theorem, Trans. Amer. Math. Soc.148 (1970), 33-39. Zbl0194.55603MR259957
  14. E.H. Spanier [14] Algebraic topology, McGraw-Hill, New York, 1966. Zbl0145.43303MR210112
  15. James E. West [15] Infinite products which are Hilbert cubes, Trans. Amer. Math. Soc.150 (1970), 1-25. Zbl0198.56001MR266147
  16. J.H.C. Whitehead [16] Simplicial spaces, nuclei, and m-groups, Proc. Lond. Math. Soc. (2) 45 (1939), 243-327. Zbl0022.40702JFM65.1443.01
  17. R.Y.T. Wong [17] Extending homeomorphisms by means of collarings, Proc. Amer. Math. Soc.19 (1968), 1443-1447. Zbl0169.54303MR234430

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