-
generalize the
notion of boundedness. One of the key
motivations behind bornologies and
bornological analysis is the fact that
bornological spaces provide...
-
their domains carry their product bornologies (i.e. they map
bounded subsets to
bounded subsets) A
vector bornology B {\displaystyle {\mathcal {B}}} is...
-
their domains carry their product bornologies (i.e. they map
bounded subsets to
bounded subsets). A
vector bornology B {\displaystyle {\mathcal {B}}} is...
-
vector space X {\displaystyle X} is
called the von
Neumann bornology or the (canonical)
bornology of X . {\displaystyle X.} A base or
fundamental system of...
- dimension.
Atlas (topology) – Set of
charts that
describes a
manifold Bornology –
Mathematical generalization of
boundedness Covering space – Type of...
- des
bornologies et applications, (in French)
Lecture Notes in Mathematics, Vol. 213. Springer-Verlag, Berlin-New York, 1971. v+168 pp.
Bornologies and...
- 207-214. Cf. also Arzelà's
Theorem and
strong uniform convergence on
bornologies,
Journal of
Mathematical Analysis and
Applications 371 (2010) 384–392...
- Hogbe-Nlend,
Henri (1977).
Bornologies and
Functional Analysis:
Introductory Course on the
Theory of
Duality Topology-
Bornology and its use in Functional...
- Hogbe-Nlend,
Henri (1977).
Bornologies and
Functional Analysis:
Introductory Course on the
Theory of
Duality Topology-
Bornology and its use in Functional...
- 2011, pp. 441–457.
Khaleelulla 1982, p. 65. Hogbe-Nlend,
Henri (1977).
Bornologies and
functional analysis. Amsterdam: North-Holland
Publishing Co. pp. xii+144...
