The Dugundji extension theorem and extension degree

Katsuya Eda

Colloquium Mathematicae (1995)

  • Volume: 68, Issue: 1, page 25-38
  • ISSN: 0010-1354

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Eda, Katsuya. "The Dugundji extension theorem and extension degree." Colloquium Mathematicae 68.1 (1995): 25-38. <http://eudml.org/doc/210290>.

@article{Eda1995,
author = {Eda, Katsuya},
journal = {Colloquium Mathematicae},
keywords = {local convexity; extension degree; Graev extension; Dugundji extension theorem; topological linear space},
language = {eng},
number = {1},
pages = {25-38},
title = {The Dugundji extension theorem and extension degree},
url = {http://eudml.org/doc/210290},
volume = {68},
year = {1995},
}

TY - JOUR
AU - Eda, Katsuya
TI - The Dugundji extension theorem and extension degree
JO - Colloquium Mathematicae
PY - 1995
VL - 68
IS - 1
SP - 25
EP - 38
LA - eng
KW - local convexity; extension degree; Graev extension; Dugundji extension theorem; topological linear space
UR - http://eudml.org/doc/210290
ER -

References

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  1. [1] R. F. Arens, Extension of functions on fully normal spaces, Pacific J. Math. 2 (1952), 11-22. Zbl0046.11801
  2. [2] R. F. Arens and J. Eells, Jr., On embedding uniform topological spaces, ibid. 6 (1956), 397-403. Zbl0073.39601
  3. [3] R. H. Bing, Concerning hereditarily indecomposable continua, ibid. 1 (1951), 43-51. Zbl0043.16803
  4. [4] C. R. Borges, Are EC-spaces AE(metrizable)?, Colloq. Math. 62 (1991), 135-143. Zbl0741.54010
  5. [5] R. Cauty, Un espace métrique linéaire qui n'est pas un rétracte absolu, Fund. Math. 146 (1994), 85-99. 
  6. [6] C. O. Christenson and W. L. Voxman, Aspects of Topology, Dekker, New York, 1977. Zbl0347.54001
  7. [7] J. Dugundji, An extension of Tietze's Theorem, Pacific J. Math. 1 (1951), 353-367. Zbl0043.38105
  8. [8] J. Dugundji, Topology, Allyn and Bacon, Boston, 1966. 
  9. [9] K. Eda, Free σ-products and noncommutatively slender groups, J. Algebra 148 (1992), 243-263. Zbl0779.20012
  10. [10] K. Eda and K. Sakai, A factor of singular homology, Tsukuba J. Math. 15 (1991), 351-387. Zbl0760.55003
  11. [11] R. Engelking, General Topology, Heldermann, Berlin, 1989. 
  12. [12] M. I. Graev, Free Topological Groups, Izv. Akad. Nauk SSSR Ser. Mat. 12 (1948), 279-324 (in Russian); English transl.: Amer. Math. Soc. Transl. 8, 305-364. 
  13. [13] E. Hewitt and K. Ross, Abstract Harmonic Analysis I, Springer, Berlin, 1963. Zbl0115.10603
  14. [14] E. Michael, Some extension theorems for continuous functions, Pacific J. Math. 3 (1953), 789-806. Zbl0052.11502
  15. [15] M. G. Tkachenko, On completeness of free abelian topological groups, Soviet Math. Dokl. 27 (1983), 341-345. Zbl0521.22002
  16. [16] J. van der Bijl and J. van Mill, Linear spaces, absolute retracts, and the compact extension property, Proc. Amer. Math. Soc. 104 (1988), 942-952. Zbl0689.55001

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