Calculating limits and colimits in pro-categories

Daniel C. Isaksen

Fundamenta Mathematicae (2002)

  • Volume: 175, Issue: 2, page 175-194
  • ISSN: 0016-2736

Abstract

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We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. We also correct some mistakes in the literature on this topic.

How to cite

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Daniel C. Isaksen. "Calculating limits and colimits in pro-categories." Fundamenta Mathematicae 175.2 (2002): 175-194. <http://eudml.org/doc/283375>.

@article{DanielC2002,
abstract = {We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. We also correct some mistakes in the literature on this topic.},
author = {Daniel C. Isaksen},
journal = {Fundamenta Mathematicae},
keywords = {pro-category; limit; essentially of type ; pro-abelian category},
language = {eng},
number = {2},
pages = {175-194},
title = {Calculating limits and colimits in pro-categories},
url = {http://eudml.org/doc/283375},
volume = {175},
year = {2002},
}

TY - JOUR
AU - Daniel C. Isaksen
TI - Calculating limits and colimits in pro-categories
JO - Fundamenta Mathematicae
PY - 2002
VL - 175
IS - 2
SP - 175
EP - 194
AB - We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about étale homotopy types. We also correct some mistakes in the literature on this topic.
LA - eng
KW - pro-category; limit; essentially of type ; pro-abelian category
UR - http://eudml.org/doc/283375
ER -

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