Abstract
© 2016 University of Houston. The objective of the present paper is to provide information on the set of periodic points of a homeomorphism defined in the following compact spaces: 𝕊n (the n-dimensional sphere), 𝕊n x 𝕊m (the product space of the n-dimensional with the m-dimensional spheres), ℂPn (the n- dimensional complex projective space) and ℍPn (the n-dimensional quaternion projective space). We use as main tool the action of the homeomorphism on the homology groups of these compact spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 1047-1058 |
| Journal | Houston Journal of Mathematics |
| Volume | 42 |
| Issue number | 3 |
| Publication status | Published - 1 Jan 2016 |
Keywords
- Complex projective space
- Homeomorphism
- Lefschetz fixed point theory
- Periodic points
- Periods
- Product of two spheres
- Quaternion projective space
- Sphere