1. The results for differentiable homeomorphism are extended.

2. The definition of operator homeomorphism mapping , together with its characterizations, is given in this paper.

3. By using homeomorphism method and the extended inverse function theorem, the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

4. So studying continuous and homeomorphism on the mapping of quotient spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.

5. Homeomorphism mapping, conformal mapping and quasiconfor -mal mapping are close related with analytic functions.

6. In this paper, we investigate the homeomorphism for contract - condensing mappings and monotone mappings by using topological degree.

7. The basic mappings between two L—interval valued fuzzy filter spaces are introduced and studied in a very systematic way, such as continuous mapping, open mapping and homeomorphism.

8. The paper shows, that the condition "X is a homeomorphism" of the definition of a regular surfaces can be substituted with the condition "X is One-to-one".sentencedict .com

9. In this paper, chaos behavior of two - dimensional differentiable homeomorphism is discussed. A sufficient condition which is easy to check is given.

10. In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.