Generalized cofibration categories and global actions

Minian EG (01T00:00:00Z.01.1970)
Bielefeld (Germany): Bielefeld University.

Bielefelder E-Dissertation | Englisch
 
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Autor*in
Minian, Elías Gabriel
Betreuer*in
Bak, Anthony (Prof., Ph.D.)
Abstract / Bemerkung
This dissertation develops an axiomatic homotopy theory for categories with a family of natural cylinders indexed by a set [Lambda] with relations. Such categories are called [Lambda]-cofibration categories. The homotopy theory of these categories generalizes that of J. Baues for I-categories, which are categories with just one natural cylinder I. The main examples of [Lambda]-cofibration categories are the category of Global Actions and the category of Simplicial Complexes. The finite interval objects in these categories form the families of natural cylinders.
Stichworte
Homotopietheorie , Kategorie (Mathematik) , , Homotopy theory , Simplicial complexes , Global actions
Jahr
1999
Page URI
https://pub.uni-bielefeld.de/record/2305583

Zitieren

Minian EG. Generalized cofibration categories and global actions. Bielefeld (Germany): Bielefeld University; 1999.
Minian, E. G. (01T00:00:00Z.01.1970). Generalized cofibration categories and global actions. Bielefeld (Germany): Bielefeld University.
Minian, E. G. 01T00:00:00Z.01.1970 Generalized cofibration categories and global actions. Bielefeld (Germany): Bielefeld University.
Minian, E.G., 01T00:00:00Z.01.1970 Generalized cofibration categories and global actions, Bielefeld (Germany): Bielefeld University.
E.G. Minian, Generalized cofibration categories and global actions, Bielefeld (Germany): Bielefeld University, 1999.
Minian, E.G.: Generalized cofibration categories and global actions. Bielefeld University, Bielefeld (Germany) (1999).
Minian, Elías Gabriel. Generalized cofibration categories and global actions. Bielefeld (Germany): Bielefeld University, 1999.
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