zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Partial metric monoids and semivaluation spaces. (English) Zbl 1084.22002
The authors discuss the importance of stable partial metric meet semilattices in quantitative domain theory. In particular they show that the interval domain, the domain of words and the dual complexity space can be modelled as stable partial metric monoids, where a stable partial metric monoid is a partial metric monoid (X,·,p) such that (X,p) is a stable partial metric meet semilattice. They also introduce the notion of a semivaluation monoid and prove that there is a bijection between stable partial metric monoids and semivaluation monoids.
22A15Structure of topological semigroups
22A26Topological lattices, lattices and applications (topological groups)
54E35Metric spaces, metrizability
54H12Topological lattices (topological aspects)