Lifting colimits in various categories

Author:

Heath Philip R.,Parmenter M. M.

Abstract

In a recent publication [2], R. Brown and the first author proved a Lifting Theorem for groups (and topological groups) showing that if β: BH is an epimorphism of groups and H is a certain type of colimit of groups, then this colimit can be lifted (or pulled back) through β; that is B is a colimit of the lifted diagram (see Corollary 2·3 below).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. [5] Heath P. R. and Kamps K. H. . Lifting colimits of (topological) groupoids, and (topological) categories. (In preparation.)

2. [7] Niefield S. B. . Cartesianness. Ph.D. thesis, Rutgers University (1978).

3. Spaces of partial maps, fibred mapping spaces and the compact-open topology

4. Au sujet de l'existence d'adjoints a droit aux foncteurs image reciproque que dans la catégorie des catégories;Conduché;C. R. Acad. Sci. Paris Sér. I Math.,1972

5. Lifting amalgamated sums and other colimits of groups and topological groups

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Homotopy theory, and change of base for groupoids and multiple groupoids;Applied Categorical Structures;1996

2. Lifting amalgams and other colimits of monoids;Mathematical Proceedings of the Cambridge Philosophical Society;1990-07

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