Calculating limits and colimits in pro-categories

• Autorzy: Daniel C. Isaksen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 18A30: Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
• 55U35: Abstract and axiomatic homotopy theory
• 14F35: Homotopy theory; fundamental groups
• 18Exx: Abelian categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2002
• Tom: 175
• Numer: 2
• Strony: 175-194

Daty

wydano

2002

Twórcy

autor

Daniel C. Isaksen

• Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, U.S.A.

Identyfikatory

DOI

10.4064/fm175-2-7