Accession Number : AD0737248

Title :   An Introduction to Nachbin Spaces.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Machado,Silvio ; Prolla,Joao B.

Report Date : JAN 1972

Pagination or Media Count : 45

Abstract : The paper studies from the viewpoint of vector fibrations and vector spaces of cross-sections, endowed with appropriate topologies, the realm of ideas and results centered around the Weierstrass-Stone Theorem for algebras and modules of continuous functions in the real and self-adjoint complex cases. The proof of the equivalence between the separating and the general cases of such results by means of a quotient contruction motivates the use of vector fibrations. (Author)

Descriptors :   (*ALGEBRAIC TOPOLOGY, VECTOR SPACES), SET THEORY, MAPPING(TRANSFORMATIONS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE