Equivariant fiber Shape Category of Equivariant Continuous Maps
pdf

How to Cite

Dzadzamia, M., Turmanidze, L., & Tsinaridze, R. (2026). Equivariant fiber Shape Category of Equivariant Continuous Maps. International Scientific-Practical Conference: „Modern Challenges and Achievements in Information and Communication Technologies“ Transactions, 4, 197-200. https://papers.4science.ge/index.php/mcaaict/article/view/469

Abstract

The shape theory of continuous maps is a new branch of classical shape theory. It is a meaningful extension of the homotopy theory of absolute neighborhood retracts for the category of maps of metrizable spaces. ...

pdf

References

S. A. Antonian and S. Mardešic´, Equivariant shape. Fund. Math., 127 (1987), 213–224.

V.Baladze, On shape theory for fibrations, Bull. Georgian Acad. Sci., 129(1988), 269-272.

V.Baladze, Fiber shape theory and resolutions, Zb. Rad. Filoz. Fak. Nisu, Ser. Mat., 5(1991), 97-107.

V.Baladze, Fiber shape theory, Proc. A. Razmadze Math. Inst., 132(2003), 1-70.

A. Dold, The fixed index of fibre-demanding maps. Invert. Math. 25(1974), 281-289.

G.M. Nepomniachy, Yu.M. Smirnov, On retraction of mappings. (Russian) Chechoslovak math. J.104(1979), No.29,366-377.

G. S. Ungar, ANR’s and NES’s in the category of mapping of metric spaces. Fund. Math. 95(1977)