Evaluation of interpolators for soil pH mapping as support for family farm
| Author(s): |
Fenille, Marcio Colombo
[1]
Total Authors: 1
|
| Affiliation: | [1] Univ Fed Itajuba, Inst Ciencias Exatas, BR-37500904 Itajuba, MG - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | MATHEMATICA SCANDINAVICA; v. 111, n. 1, p. 92-106, 2012. |
| Web of Science Citations: | 0 |
| Abstract | |
This article is a study of the root theory for maps from two-dimensional CW-complexes into the 2-sphere. Given such a map f : K -> S-2 we define two integers zeta(f) and zeta(K, d(f)), which are upper bounds for the minimal number of roots off, denote be mu(f). The number zeta(f) is only defined when f is a cellular map and zeta(K,d(f)) is defined when K is homotopy equivalent to the 2-sphere. When these two numbers are defined, we have the inequality mu(f) <= zeta(K, d(f)) <= zeta(f), where d(f) is the so-called homological degree of f. We use these results to present two very interesting examples of maps from 2-complexes homotopy equivalent to the sphere into the sphere. (AU) | |
| FAPESP's process: | 07/05843-5 - Roots of maps from 2-dimensional complexes into closed surfaces |
| Grantee: | Márcio Colombo Fenille |
| Support type: | Scholarships in Brazil - Doctorate |