Publication:
Algebraically Determined Rings of Functions
Algebraically Determined Rings of Functions
| dc.contributor.author | McLinden, Alexander Patrick | |
| dc.date.accessioned | 2023-12-22T06:19:02Z | |
| dc.date.available | 2023-12-22T06:19:02Z | |
| dc.date.issued | 1900 | |
| dc.description | Publisher: University of North Texas ; Source: https://digital.library.unt.edu/ark:/67531/metadc31543/ ; Level: Thesis | |
| dc.description.abstract | Let R be any of the following rings: the smooth functions on R^2n with the Poisson bracket, the Hamiltonian vector fields on a symplectic manifold, the Lie algebra of smooth complex vector fields on C, or a variety of rings of functions (real or complex valued) over 2nd countable spaces. Then if H is any other Polish ring and φ:H →R is an algebraic isomorphism, then it is also a topological isomorphism (i.e. a homeomorphism). Moreover, many such isomorphisms between function rings induce a homeomorphism of the underlying spaces. It is also shown that there is no topology in which the ring of real analytic functions on R is a Polish ring. | |
| dc.identifier.uri | http://repository.vlu.edu.vn:443/handle/123456789/11161 | |
| dc.language.iso | en_US | |
| dc.subject | Polish Rings | |
| dc.subject | descriptive set theory | |
| dc.subject | algebraically determined | |
| dc.subject | Rings (Algebra) | |
| dc.subject | Functions. | |
| dc.title | Algebraically Determined Rings of Functions | |
| dc.type | Resource Types::text::thesis | |
| dspace.entity.type | Publication | |
| oairecerif.author.affiliation | #PLACEHOLDER_PARENT_METADATA_VALUE# |
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