Calculating Limits and Colimits in Pro-categories

  title={Calculating Limits and Colimits in Pro-categories},
  author={Daniel Isaksen},
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. Also, we show that cofiltered limits in pro-categories commute with finite colimits. 
Highly Cited
This paper has 23 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 15 references

Approximation filtrante de diagrammes finis par Pro-C

C. V. Meyer
Ann. Sci. Math. Québec 4 • 1980
View 5 Excerpts
Highly Influenced

Essential properties of pro-objects in Grothendieck categories

T. Porter
Cah. Top. Geom. Diff. 20 • 1979
View 4 Excerpts
Highly Influenced

Shape theory: Categorical methods of approximation

J.-M. Cordier, T. Porter
Ellis Horwood Series: Mathematics and Its Applications • 1989
View 1 Excerpt

Etale homotopy of simplicial schemes

E. M. Friedlander
Annals of Mathematics Studies, vol. 104, Princeton University Press • 1982
View 1 Excerpt

Shape theory: The inverse system approach

S. Mardešić, J. Segal
North-Holland Mathematical Library, vol. 26, North-Holland • 1982
View 1 Excerpt

Cech and Steenrod homotopy theories with applications to geometric topology

D. A. Edwards, H. M. Hastings
Lecture Notes in Mathematics, vol. 542, Springer Verlag • 1976
View 2 Excerpts

Theorie des topos et cohomologie étale des schémas (SGA 4)

M. Artin, A. Grothendieck, J. L. Verdier
Lecture Notes in Mathematics, vol. 269, Springer Verlag • 1972
View 2 Excerpts

Similar Papers

Loading similar papers…