Zobrazeno 1 - 10
of 35
pro vyhledávání: '"H. L. Bentley"'
Autor:
H. L. Bentley, Horst Herrlich
Publikováno v:
Applied Categorical Structures. 24:439-445
We investigate which symmetric topological spaces have precisely one compatible nearness structure. We show how this situation exists for T1 topological spaces and for T2 topological spaces. The compatible nearness structures on a symmetric topologic
Autor:
H. L. Bentley, R.G. Ori
Publikováno v:
Quaestiones Mathematicae; Vol 39, No 6 (2016); 815-829
Straight spaces are spaces for which a continuous map defined on the space which is uniformly continuous on each set of a finite closed cover is then uniformly continuous on the whole space. Previously, straight spaces have been studied in the settin
Autor:
R.G. Ori, H. L. Bentley
Publikováno v:
Quaestiones Mathematicae. 37:265-277
Three papers, [2], [3], and [4], written by H.L. Bentley and P. Slepian in 1967 were concerned with bases of a topological space, but with little mention of the corresponding topology. Morphisms considered then were continuous maps with respect to th
Autor:
H. L. Bentley, H. Herrlich
Publikováno v:
Applied Categorical Structures. 12:155-180
Autor:
H. L. Bentley, Horst Herrlich
Publikováno v:
Quaestiones Mathematicae; Vol 24, No 1 (2001); 39-50
The strict completion of a nearness space was constructed in 1974 in Herrlich's original paper on nearness. we present an external characterization of this completion. Among the consequences of this result is the fact that for nearness spaces X and Y
Publikováno v:
Applied Categorical Structures. 8:425-434
A general version of the Stone–Weierstrass theorem is presented – one which involves no structure on the domain set of the real valued functions. This theorem is similar to the ‘Stone–Weierstrass theorem’ which appears in the book by Gillma
Autor:
H. L. Bentley, Miroslav Hušek
Publikováno v:
Applied Categorical Structures. 2:187-203
This paper summarizes the situation around the problem of when classes of projective objects are almost coreflective, both in general categories and in Top or similar categories. In addition to known results, several new contributions and examples ar
Autor:
Nistala V. E. S. Murthy, H. L. Bentley
Publikováno v:
Quaestiones Mathematicae. 13:361-384
We consider categories of partial algebras satisfying given identities and such that the domain of each operation is given by equations in the earlier operations. Without using formal logic, we make all of the above concepts precise. We then show tha
Autor:
Paul Cherenack, H. L. Bentley
Publikováno v:
Quaestiones Mathematicae; Vol 28, No 2 (2005); 145-178
A 1-variable calculus type argument is used to show that, for a function f : R 2 → R, if for all (a, b) ∊ R 2 we have that f o c is smooth for every smooth curve c : R → R 2 nonsingular except at 0 and with c(0) = (a, b), then f is smooth. This
Autor:
Eva Lowen-Colebunders, H. L. Bentley
In those situations where separation is absent, given a T -object X, the proof of the statement involves some modification of a natural "completion" process. In order to construct an embedding of X into some S-object, one starts from a natural initia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::67dd515f8e21b32945f7deaf9b04ed5f
https://biblio.vub.ac.be/vubir/initial-morphisms-versus-embeddings(aae1b748-bf42-49e3-a172-95885c3821d3).html
https://biblio.vub.ac.be/vubir/initial-morphisms-versus-embeddings(aae1b748-bf42-49e3-a172-95885c3821d3).html