Covering Spaces

Mahima Ranjan Adhikari ()
Additional contact information
Mahima Ranjan Adhikari: Institute for Mathematics, Bioinformatics, Information Technology and Computer Science (IMBIC)

Chapter Chapter 4 in Basic Algebraic Topology and its Applications, 2016, pp 147-196 from Springer

Abstract: Abstract This chapter continues the study of the fundamental groups and is designed to utilize the power of the fundamental groups through a study of covering spaces. The fundamental groups are deeply connected with covering spaces. Algebraic features of the fundamental groups are expressed by the geometric language of covering spaces. Main interest in the study of this chapter is to establish an exact correspondence between the various connected covering spaces of a given base space B and subgroups of its fundamental group $$\pi _1(B)$$ , like Galois theory, with its correspondence between field extensions and subgroups of Galois groups, which is an amazing result.

Keywords: Conjugacy Class; Fundamental Group; Base Space; Orbit Space; Algebraic Topology (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2843-1_4

Ordering information: This item can be ordered from
http://www.springer.com/9788132228431

DOI: 10.1007/978-81-322-2843-1_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().