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

Article Sidebar

PDF
Published: Mar 15, 2024
Keywords:
CW-complex,, Infinite symmetric product,, Suspension, Moore space Eilenberg-MacLane space

Main Article Content

Bhaskar Mandal
Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, Kolkata, India
Pravanjan Kumar RANA
Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, Kolkata, India
Sarmad Hossain
Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, Kolkata, India

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.

Article Details

How to Cite
1.
Bhaskar Mandal, RANA PK, Sarmad Hossain. A Study of Eilenberg-Maclane Space Through Infinite Symmetric Product Functor. J. Int. Acad. Phys. Sci. [Internet]. 2024 Mar. 15 [cited 2024 May 3];28(1):55-62. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/942
Issue
Vol. 28 No. 1 (2024): Table of Content
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.