Cortés-Izurdiaga, Manuel ; Crivei, Septimiu ; Saorín, Manuel Reflective and coreflective
subcategories. (English) £ ¢ ¡ Zb Page 1 Cortés-Izurdiaga, Manuel; Crivei, Septimiu; Saorín …

1. We recall the definition of a reflective subcategory [2],[3]. Suppose f! jJ is a subcategory
(not necessarily full) of a category d. f! jJ is a reflective subcategory of d if the inclusion …

The concept of a pro-reflective subcategory was introduced by S. MardeSik in [22] as it is
precisely for these subcategories that an inverse system approach to shape theory works …

The factorization structure in the reflective subcategory | Proceedings of the 15th american
conference on Applied mathematics skip to main content ACM Digital Library home ACM home …

REFLECTIVE SUBCATEGORIES Walter THOLEN 1. Introduction This paper gives a survey
of old and new results on (full) reflective sub Page 1 Topology and its Applications 27 (1987) …

Every factorization structure on certain concrete categories induces an extremal-epireflective
subcategory. We study these subcategories, give conditions under which an extremal …

Reflective subcategories originated as a formal mathematical concept in the 1960's.
Perhaps the first abstract definition of reflectivity can be attributed to P. Freyd who, in [Freyd …

In [12], we have introduced the new topology on a topological space generated by the Gk-
sets and we have been able to characterize some reflective subcategories in various …

arXiv:1111.6556v3 [math.OA] 20 Dec 2011 Page 1 arXiv:1111.6556v3 [math.OA] 20 Dec
2011 ON REFLECTIVE-COREFLECTIVE EQUIVALENCE AND ASSOCIATED PAIRS ERIK …

Hereditary coreflective subcategories of an epireflective subcategory A of Top such that I 2∉
A (here I 2 is the two-point indiscrete space) were studied in [4]. It was shown that a …