Uniform AR's and ANR's

E. Michael

Compositio Mathematica (1979)

  • Volume: 39, Issue: 2, page 129-139
  • ISSN: 0010-437X

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Michael, E.. "Uniform AR's and ANR's." Compositio Mathematica 39.2 (1979): 129-139. <http://eudml.org/doc/89416>.

@article{Michael1979,
author = {Michael, E.},
journal = {Compositio Mathematica},
keywords = {uniform absolute neighborhood retract; ANR},
language = {eng},
number = {2},
pages = {129-139},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Uniform AR's and ANR's},
url = {http://eudml.org/doc/89416},
volume = {39},
year = {1979},
}

TY - JOUR
AU - Michael, E.
TI - Uniform AR's and ANR's
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 39
IS - 2
SP - 129
EP - 139
LA - eng
KW - uniform absolute neighborhood retract; ANR
UR - http://eudml.org/doc/89416
ER -

References

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  1. [1] R. Arens and J. Eells: On embedding uniform and topological spaces. Pacific J. Math.6 (1956) 397-403. Zbl0073.39601MR81458
  2. [2] K. Borsuk: Theory of retracts, Monografie Matematyczne 44, Polish Scientific Publishers, Warsaw, 1967. Zbl0153.52905MR216473
  3. [3] C.H. Dowker: On a theorem of Hanner, Ark. Mat.2 (1952) 307-313. Zbl0048.41003MR50874
  4. [4] J. Dugundji, An extension of Tietze's theorem, Pacific J. Math.1 (1951) 353-367. Zbl0043.38105MR44116
  5. [5] J. Dugundji: Absolute neighborhood retracts and local connectedness in arbitrary metric spaces, Compositio Math.13 (1958) 229-246. Zbl0089.38903MR113217
  6. [6] J. Dugundji and E. Michael: On local and uniformly local topological properties, Proc. Amer. Math. Soc.7 (1956) 304-307. Zbl0071.38203MR77108
  7. [7] O. Hanner: Retraction and extension of mappings of metric and non-metric spaces, Ark. Mat.2 (1952) 315-360. Zbl0048.41002MR50875
  8. [8] J. Isbell: Uniform neighborhood retracts, Pacific J. Math.11 (1961) 609-648. Zbl0109.15402MR141074
  9. [9] J. Isbell: Uniform spaces, Mathematical Surveys 12, American Mathematical Society, 1964. Zbl0124.15601MR170323
  10. [10] S. Lefschetz, Topics in topology, Princeton University Press, Princeton, 1942. Zbl0061.39303MR7094
  11. [11] E. Michael: On the completion of a uniformly LCn or ANR metric space, Bull. Amer. Math. Soc.61 (1955), Abstract 847t, p. 571. 
  12. [12] E. Michael: Local properties of topological spaces, Duke Math. J.21 (1954) 163-172. Zbl0055.16203MR62424
  13. [13] E. Michael: A short proof of the Arens-Eells embedding theorem, Proc. Amer. Math. Soc.15 (1964) 415-416. Zbl0178.25903MR162222
  14. [14] E. Michael: Continuous selections and finite-dimensional sets. Zbl0405.54016
  15. [15] C. Pixley: An example concerning continuous selections on infinite-dimensional spaces, Proc. Amer. Math. Soc.43 (1974), 237-244. Zbl0253.54010MR328858
  16. [16] H. Toruńczyk: Absolute retracts as factors of normed linear spaces, Fund. Math.86 (1974) 53-67. Zbl0318.57005MR365471
  17. [17] H. Toruńczyk: Factors of the Hilbert cube, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys.24 (1976), 757-765. Zbl0341.54044MR445503

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