Geodesic
Axiomatic method of partitions in the theory of Nöbeling spaces.
Sbornik. Mathematics, Tome 198 (2007) no. 7, pp. 909-934 
S. M. Ageev. Axiomatic method of partitions in the theory of Nöbeling spaces.. Sbornik. Mathematics, Tome 198 (2007) no. 7, pp. 909-934. http://geodesic.mathdoc.fr/item/SM_2007_198_7_a0/
@article{SM_2007_198_7_a0,
     author = {S. M. Ageev},
     title = {Axiomatic method of partitions in the theory {of~N\"obeling~spaces.}},
     journal = {Sbornik. Mathematics},
     pages = {909--934},
     year = {2007},
     volume = {198},
     number = {7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_7_a0/}
}
TY  - JOUR
AU  - S. M. Ageev
TI  - Axiomatic method of partitions in the theory of Nöbeling spaces.
JO  - Sbornik. Mathematics
PY  - 2007
SP  - 909
EP  - 934
VL  - 198
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/SM_2007_198_7_a0/
LA  - en
ID  - SM_2007_198_7_a0
ER  - 
%0 Journal Article
%A S. M. Ageev
%T Axiomatic method of partitions in the theory of Nöbeling spaces.
%J Sbornik. Mathematics
%D 2007
%P 909-934
%V 198
%N 7
%U http://geodesic.mathdoc.fr/item/SM_2007_198_7_a0/
%G en
%F SM_2007_198_7_a0

Voir la notice de l'article provenant de la source Math-Net.Ru

The consistency of the axiom system of Nöbeling spaces is established. Bibliography: 8 titles.

[1] S. M. Ageev, “Aksiomaticheskii metod razbienii v teorii prostranstv Nebelinga. I. Uluchshenie svyaznosti razbienii”, Matem. sb., 198:3 (2007), 3–50 | MR

[2] S. M. Ageev, “Aksiomaticheskii metod razbienii v teorii prostranstv Nebelinga. II. Teorema o nezauzlennosti”, Matem. sb., 198:5 (2007), 3–32 | MR

[3] S.-T. Hu, Theory of retracts, Wayne State Univ. Press, Detroit, MI, 1965 | MR | Zbl

[4] R. Engelking, Obschaya topologiya, Mir, M., 1986 ; R. Engelking, General topology, PWN, Warsaw, 1977 | MR | MR | Zbl

[5] M. Bestvina, Characterizing $k$-dimensional universal Menger compacta, Mem. Amer. Math. Soc., 71, no. 380, 1988 | MR | Zbl

[6] K. Rurk, B. Sanderson, Vvedenie v kusochno lineinuyu topologiyu, Mir, M., 1974 ; C. P. Rourke, B. J. Sanderson, Introduction to piecewise-linear topology, Springer-Verlag, Berlin–Heidelberg–New York, 1972 | MR | MR | Zbl

[7] P. L. Bowers, “Dense embeddings of sigma-compact, nowhere locally compact metric spaces”, Proc. Amer. Math. Soc., 95:1 (1985), 123–130 | DOI | MR | Zbl

[8] J. F. P. Hudson, Piecewise linear topology, W. A. Benjamin, Inc., New York–Amsterdam, 1969 | MR | Zbl