Remarks on the frame envelope of a σ-frame

✍ Scribed by B. Banaschewski; P. Matutu

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 96 KB
• Volume: 177
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(02)00195-0

✦ Synopsis

The familiar equivalence between -frames and -coherent frames, given by the frame envelopes of -frames, is shown to induce an equivalence between stably continuous -frames and stably continuous frames. Similarly, the analogue of the former for -biframes is proved to provide an equivalence between compact regular -biframes and compact regular biframes. As an application we obtain the equivalence between stably continuous -frames and compact regular -biframes due to Matutu as an easy consequence of its frame counterpart established earlier by Banaschewski and Br ummer. This provides an a rmative answer to a question posed by Dana Scott.