Open AccessCoreflectively modified continuous duality applied to classical product theorems
Author(s) -
Frédéric Mynard
Publication year - 2001
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2001.2145
Subject(s) - mathematics , duality (order theory) , product (mathematics) , convergence (economics) , quotient , stability (learning theory) , topology (electrical circuits) , pure mathematics , combinatorics , computer science , geometry , economics , economic growth , machine learning
Several (old and new) results on stability of quotients (of various types) under product, on sequentiality of product of sequential spaces, on relationships between a topology and the upper Kuratowski convergence on its closed sets are derived from a general mechanism of duality that uses the continuous convergence lead to new reflectors which are of fundamental interest in this quest