A Study of Eilenberg-Maclane Space Through Infinite Symmetric Product Functor

Main Article Content

Bhaskar Mandal
Pravanjan Kumar RANA
Sarmad Hossain

Abstract

In this paper first we construct the Eilenberg-MacLane space through Moore space then we study this space through infinite symmetric product functor. Finally we study some applications.

Downloads

Download data is not yet available.

Article Details

Section

Articles

How to Cite

1.
A Study of Eilenberg-Maclane Space Through Infinite Symmetric Product Functor. J. Int. Acad. Phys. Sci. [Internet]. 2024 Mar. 15 [cited 2026 Oct. 23];28(1):55-62. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/942

References

Dold and Thom; Quasifibres and Symmetric Products, Ann of Math, 67 (1958), 239-281.

E.H. Spanier; Algebraic Topology, Mc Graw-Hill, New York.

E.H. Spanier; Infinite symmetric product of functors spaces and duality, Ann. of Math, 69 (1959), 142-198.

B. Eckmann and P. J. Hilton; Homotopy groups and exact sequences, Commentarii Mathematici Helvetici, (1960), 271-304.

P.K. Rana and Bhaskar Mandal, Homology theory associated with new Ω-spectrum, Journal of the Calcutta Mathematical Society, 17(1) (2021), 1- 8.

M.R.Adhikari; Basic Algebraic Topology and its Applications, Springer, 2016.

A. Adhikari and P.K.Rana; A study of functors associated with Topological groups, Studia Univ. Babes-Bolyai, Mathematica, XLVI (4), (2001) 3-14.

P.K. Rana; A Study of some functors and their relations, The Journal of Indian Academy of Mathematics, 34(1) (2012), 73-81.

Albrecht Dold; Homology of Symmetric Products and Other Functors of Complexes, Annals of Mathematics, Second Series, 68(1) (1958), 54-80.

Most read articles by the same author(s)