Consequences of the Eilenberg–Steenrod Axioms

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

Chapter Chapter 13 in Basic Algebraic Topology and its Applications, 2016, pp 433-443 from Springer

Abstract: Abstract This chapter continues the study of homology and cohomology theories by considering some immediate consequences of the Eilenberg–Steenrod axioms: H(1)–H(7) and C(1)–C(7) given by Eilenberg and Steenrod for homology and cohomology theories described in Chap. 12 . Finally, this chapter establishes a close connection between cofibrations and homology theory, and computes the ordinary homology groups of $$S^n$$ S n with coefficients in an abelian group G.

Keywords: Abelian Group; Topological Space; Homology Group; Full Subcategory; Homotopy Type (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_13

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

DOI: 10.1007/978-81-322-2843-1_13

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 ().