HOFFMAN INDEX OF MANIFOLDS

Adil   Naaum; Afraa   Sadek

doi:10.24996/ijs.2009.50.3.%g

HOFFMAN INDEX OF MANIFOLDS

Authors

Adil Naaum Department of mathematics, College of science, University of Baghdad. Baghdad- Iraq
Afraa Sadek Department of mathematics, College of science, University of Baghdad. Baghdad- Iraq

DOI:

https://doi.org/10.24996/ijs.2009.50.3.%25g

Keywords:

HOFFMAN, MANIFOLDS

Abstract

For a connected topological space M we define the homeomorphism and period noncoincidence indices of M, each of them is topological invariant reflecting the abundance of fixed point free self homeomorphisms and periodic point free self maps defined on M respectively.
We give some results for computing each of these indices and we give some examples and some results relating these indices with Hoffman index.