The Dugundji extension theorem and extension degree

• Autorzy: Katsuya Eda
• Języki publikacji: EN

Słowa kluczowe

EN

local convexity; extension degree; Graev extension; Dugundji extension theorem; topological linear space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1995
• Tom: 68
• Numer: 1
• Strony: 25-38

Daty

wydano

1995

otrzymano

1993-10-08

poprawiono

1994-03-15

Twórcy

autor

Katsuya Eda

• Department of Information, Waseda University, Tokyo, 169 Japan

Bibliografia

• [1] R. F. Arens, Extension of functions on fully normal spaces, Pacific J. Math. 2 (1952), 11-22.
• [2] R. F. Arens and J. Eells, Jr., On embedding uniform topological spaces, ibid. 6 (1956), 397-403.
• [3] R. H. Bing, Concerning hereditarily indecomposable continua, ibid. 1 (1951), 43-51.
• [4] C. R. Borges, Are EC-spaces AE(metrizable)?, Colloq. Math. 62 (1991), 135-143.
• [5] R. Cauty, Un espace métrique linéaire qui n'est pas un rétracte absolu, Fund. Math. 146 (1994), 85-99.
• [6] C. O. Christenson and W. L. Voxman, Aspects of Topology, Dekker, New York, 1977.
• [7] J. Dugundji, An extension of Tietze's Theorem, Pacific J. Math. 1 (1951), 353-367.
• [8] J. Dugundji, Topology, Allyn and Bacon, Boston, 1966.
• [9] K. Eda, Free σ-products and noncommutatively slender groups, J. Algebra 148 (1992), 243-263.
• [10] K. Eda and K. Sakai, A factor of singular homology, Tsukuba J. Math. 15 (1991), 351-387.
• [11] R. Engelking, General Topology, Heldermann, Berlin, 1989.
• [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] E. Hewitt and K. Ross, Abstract Harmonic Analysis I, Springer, Berlin, 1963.
• [14] E. Michael, Some extension theorems for continuous functions, Pacific J. Math. 3 (1953), 789-806.
• [15] M. G. Tkachenko, On completeness of free abelian topological groups, Soviet Math. Dokl. 27 (1983), 341-345.
• [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.