论文信息 - On a Generalization of the Stone–Weierstrass Theorem - 字舞流文

On a Generalization of the Stone–Weierstrass Theorem

A categorical version of the famous theorem of Stone and Weierstrass is formulated and studied in detail. Several applications and examples are given.

Dirk Hofmann | Dirk Hofmann

[1] David M. Clark,et al. Natural Dualities for the Working Algebraist , 1998 .

[2] I. M. Gelfand,et al. Commutative Normed Rings , 1968 .

[3] M. Stone. Applications of the theory of Boolean rings to general topology , 1937 .

[4] Horst Herrlich,et al. Abstract and concrete categories , 1990 .

[5] Hilary A. Priestley,et al. Representation of Distributive Lattices by means of ordered Stone Spaces , 1970 .

[6] Hilary A. Priestley,et al. Ordered Topological Spaces and the Representation of Distributive Lattices , 1972 .

[7] M. Stone. The Generalized Weierstrass Approximation Theorem , 1948 .

[8] P. Gabriel,et al. Lokal α-präsentierbare Kategorien , 1971 .

[9] Albert Stralka. A partially ordered space which is not a priestley space , 1980 .

[10] M. Stone. The theory of representations for Boolean algebras , 1936 .