Sober approach spaces are firmly reflective for the class of epimorphic embeddings

DOI10.1007/s10485-006-9014-yzbMath1120.54009OpenAlexW2028006597MaRDI QIDQ2432578

Christophe Van Olmen, A. Gerlo, E. Vandersmissen

Publication date: 25 October 2006

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-006-9014-y

zbMATH Keywords

approach framesfirm reflectionsober approach spaces

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Preorders, orders, domains and lattices (viewed as categories) (18B35)

Related Items (6)

Unnamed Item ⋮ Affine sets: the structure of complete objects and duality ⋮ Sober metric approach spaces ⋮ Uniqueness of completion for metrically generated constructs ⋮ Constructing the sobrification of an approach space via bicompletion ⋮ Spaces modelled by an algebra on \([0,\infty \) and their complete objects]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Epimorphisms and cowellpoweredness for separated metrically generated theories
• Charakterisierung nüchterner Räume
• Zariski closure, completeness and compactness

This page was built for publication: Sober approach spaces are firmly reflective for the class of epimorphic embeddings