- Topology" :
chapter 6
defines and
discusses cofibrations, and they are used
throughout Brown, Ronald. "7.
Cofibrations".
Topology and Groupoids. ISBN 978-1-4196-2722-4...
- is the third. Lifting:
acyclic cofibrations have the left
lifting property with
respect to fibrations, and
cofibrations have the left
lifting property...
- with
classes of
morphisms called weak equivalences, fibrations, and
cofibrations,
satisfying several axioms. The ****ociated
homotopy category of a model...
-
cylinder to a point.
Mapping cylinders are
central to the
definition of
cofibrations. The
bottom Y is a
deformation retract of M f {\displaystyle M_{f}} ...
-
Hausdorff space), then the
image of a
cofibration f is
closed in X.
Among all
closed inclusions,
cofibrations can be
characterized as follows. The inclusion...
- C_{0}^{\perp \ell r}} are the
classes of fibrations,
acyclic cofibrations,
acyclic fibrations, and
cofibrations. Let sSet be the
category of
simplicial sets. Let...
- equivalences,
cofibrations and fibrations, respectively, are the C-local
equivalences the
original cofibrations of M and (necessarily,
since cofibrations and weak...
- complexes, the
notion of a
cofibration is
often implicit. A
fibration in the
sense of
Serre is the dual
notion of a
cofibration: that is, a map p : X → B...
- also used for injections, surjections, and bijections, as well as the
cofibrations, fibrations, and weak
equivalences in a
model category. Commutativity...
- E\to B.} Due to the
duality of
fibration and
cofibration,
there also
exists a
sequence of
cofibrations.
These two
sequences are
known as the
Puppe sequences...
