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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F06%3A00124025%21RIV10-MSM-21230___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
Pure epimorphisms in categories pro-C, which essentially are just inverse limits of split epimorphisms in C, were recently studied by J. Dydak and F.R.R. del Portal in connection with Borsuk's problem of descending chains of retracts of ANRs. We prove that pure epimorphisms are regular epimorphisms whenever C has weak finite limits, or pullbacks, or copowers. This improves the results of the above paper, and the results of the present authors on pure subobjects in accessible categories. We also turn to pure monomorphisms in pro-C, essentially just inverse limits of split monomorphisms in C, and prove that they are regular monomorphisms whenever C has finite products or pushouts. (c) 2005 Elsevier B.V. All rights reserved. Pure epimorphisms in categories pro-C, which essentially are just inverse limits of split epimorphisms in C, were recently studied by J. Dydak and F.R.R. del Portal in connection with Borsuk's problem of descending chains of retracts of ANRs. We prove that pure epimorphisms are regular epimorphisms whenever C has weak finite limits, or pullbacks, or copowers. This improves the results of the above paper, and the results of the present authors on pure subobjects in accessible categories. We also turn to pure monomorphisms in pro-C, essentially just inverse limits of split monomorphisms in C, and prove that they are regular monomorphisms whenever C has finite products or pushouts. (c) 2005 Elsevier B.V. All rights reserved.
dcterms:title
Pure Morphisms in Pro-categories Pure Morphisms in Pro-categories
skos:prefLabel
Pure Morphisms in Pro-categories Pure Morphisms in Pro-categories
skos:notation
RIV/68407700:21230/06:00124025!RIV10-MSM-21230___
n3:aktivita
n11:V n11:Z
n3:aktivity
V, Z(MSM 143100009), Z(MSM0021622409)
n3:cisloPeriodika
1
n3:dodaniDat
n10:2010
n3:domaciTvurceVysledku
n13:5613078
n3:druhVysledku
n6:J
n3:duvernostUdaju
n12:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
496068
n3:idVysledku
RIV/68407700:21230/06:00124025
n3:jazykVysledku
n17:eng
n3:klicovaSlova
algebra; categories
n3:klicoveSlovo
n9:categories n9:algebra
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[17DBA1BFE6E6]
n3:nazevZdroje
Journal of Pure and Applied Algebra
n3:obor
n14:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n10:2006
n3:svazekPeriodika
207
n3:tvurceVysledku
Adámek, Jiří
n3:wos
000239482800002
n3:zamer
n15:MSM%20143100009 n15:MSM0021622409
s:issn
0022-4049
s:numberOfPages
17
n18:organizacniJednotka
21230