Zobrazeno 1 - 10
of 61
pro vyhledávání: '"RALPH KOPPERMAN"'
Autor:
Ralph Kopperman, Homeira Pajoohesh
Publikováno v:
Topology and its Applications. 249:135-149
Two common ways of using the partially ordered semigroup structure of the reals to model topological spaces are: Defining a distance into I R and using the balls of positive radius about a point as its basic neighborhoods, and Seeing if the space is
Publikováno v:
General Topology and Applications
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8df75991340e9338fcb17492c18cd87f
https://doi.org/10.1201/9781003066743-16
https://doi.org/10.1201/9781003066743-16
Publikováno v:
Fuzzy Sets and Systems. 256:57-72
Multivalued equalities originally arose in the context of the theory of sheaves, while partial metrics originally arose in the context of the theory of domains for denotational semantics. It turns out that multivalued equalities and partial metrics a
Publikováno v:
Algebra universalis. 67:1-18
The intrinsic functions of two variables from a lattice-ordered group to itself that are symmetric and right invariant are called its intrinsic metrics. It is known that these are exactly the functions of the form d(x, y) = n|x - y| for some integer
Publikováno v:
Algebra universalis. 65:315-330
This paper considers metrics valued in abelian l-groups and their induced topologies. In addition to a metric into an l-group, one needs a filter in the positive cone to determine which balls are neighborhoods of their center. As a key special case,
Publikováno v:
Topology and its Applications. 158:582-593
Let X,Y be sets with quasiproximities ◃X and ◃Y (where A◃B is interpreted as “B is a neighborhood of A”). Let f,g:X→Y be a pair of functions such that whenever C◃YD, then f−1[C]◃Xg−1[D]. We show that there is then a function h:X
Publikováno v:
American Mathematical Monthly. 116:708-718
Scott models are topological models of complete partial orders used for Tarskian fixed point semantics of the lambda calculus. As of yet there are no methods for deriving Scott models from specifications of the "complete" objects beyond an arbitrary
Publikováno v:
Topology and its Applications. 155:146-160
In 1957 Robert Ellis proved that a group with a locally compact Hausdorff topology T making all translations continuous also has jointly continuous multiplication and continuous inversion, and is thus a topological group. The theorem does not apply t
Autor:
Ralph Kopperman
Publikováno v:
Discrete Applied Mathematics. 147(2-3):287-300
The usefulness of topology in science and mathematics means that topological spaces must be studied, and computers must be used in this study. Here are examples of this need from physics: In classical physics, the Euclidean spaces and compact Hausdor