Cardinal invariants of monotonically normal spaces
β Scribed by P.M. Gartside
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 774 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
β¦ Synopsis
The basic cardinal invariants of monotonically normal spaces are determined. The gap between cellularity and density is investigated via calibres.
π SIMILAR VOLUMES
We give a proof that every compact, hereditarily paracompact, monotonically normal space is the continuous image of a compact linearly ordered space.
A space X is called a t-image of Y if C,(X) is homeomorphic to a subspace of C,(Y). We prove that if Y is a t-image of X, then Y is a countable union of images of X under almost lower semicontinuous finite-valued mappings (see Definition 1.4). It follows that if Y is a t-image of X (in particular, i
In our previous paper (Eda et al., to appear), we introduced a cardinal invariant b\* and studied some properties of the cardinal b\*. In the present paper we define new cardinal invariants which are related to Cichofi's diagram and generalize the notion of b\*. We investigate the relations between