- a
similarity between the
definitions of
compactness and
paracompactness: For
paracompactness, "subcover" is
replaced by "open refinement" and "finite"...
- said to be a-
paracompact if
every open
cover of the
space has a
locally finite refinement. In
contrast to the
definition of
paracompactness, the refinement...
- 3-dimensional
hyperbolic space there are 23
Coxeter group families of
paracompact uniform honeycombs,
generated as
Wythoff constructions, and represented...
-
product of
paracompact spaces". Bull. Amer. Math. Soc. 53 (6): 631–632. doi:10.1090/S0002-9904-1947-08858-3. Stone, A. H. (1948). "
Paracompactness and product...
- MR 0087079 Mathew,
Akhil (August 19, 2010), "A
theorem of
Michael on
paracompactness",
Climbing Mount Bourbaki Engelking,
Ryszard (1989),
General Topology...
- 2^{\aleph _{1}}}
isomorphism classes of non-
paracompact surfaces, even when a
generalization of
paracompactness, ω-boundedness, is ****umed.
There are no...
-
topological space, it is
common to add
paracompactness to the
definition of a manifold. In any case, non-
paracompact manifolds are
generally regarded as...
-
uniform space. It is also
useful for
stating a
characterization of
paracompactness. The
general definition makes sense for
arbitrary coverings and does...
-
subsets of a
topological space. It is
fundamental in the
study of
paracompactness and
topological dimension. Note that the term
locally finite has different...
-
topological properties from
metric spaces. For example, they are
Hausdorff paracompact spaces (and
hence normal and Tychonoff) and first-countable. However...
