Persistence of Topological Properties through Layer Map

Anas E; Baby Chacko

doi:https://doi.org/10.14445/22315373/IJMTT-V59P513

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 2 | Year 2018 | Article Id. IJMTT-V59P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P513

Persistence of Topological Properties through Layer Map

Anas E, Baby Chacko

Citation :

Anas E, Baby Chacko, "Persistence of Topological Properties through Layer Map," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 2, pp. 85-87, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P513

Abstract

In Topology, two spaces are said to be homeomorphic if there exist a homeomorphism between them. It is difficult to consider all functions from one space to other for verifying they are homeomorphic or not. Triangulation of spaces in to simplicial complex is useful in determining the topological properties of spaces. In this paper Layer Topology and Layer Maps on Simplices are used as the tools to prove the homeomorhism between simplices.

Keywords

Barycentric Map, Layer Topology, Layer Map

References

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