Strict ⊤-embeddings.
- Resource Type
- Article
- Authors
- Reid, Lyall; Richardson, Gary
- Source
- QM - Quaestiones Mathematicae. Sep2020, Vol. 43 Issue 7, p903-917. 15p.
- Subject
- *SPACE
- Language
- ISSN
- 1607-3606
The concept of a ⊤-limit space has recently been introduced and studied. It resembles the top level space of a lattice-valued convergence space. In this context, the notion of a strict T3-embedding is defined. For a given ⊤-limit space, a connection is made between its strict T3-compactifications and the set of all totally bounded ⊤- Cauchy spaces which induce the fixed ⊤-limit space and posses a strict T3-completion. [ABSTRACT FROM AUTHOR]