STRICT T-EMBEDDINGS

摘要

The concept of a T-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 strictT(3)-embedding is defined. For a given T-limit space, a connection is made between its strictT(3)-compactifications and the set of all totally bounded T- Cauchy spaces which induce the fixed T-limit space and posses a strictT(3)-completion.