- 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}} ...
-
category with a
choice of
three classes of maps
called weak equivalences,
cofibrations and fibrations,
subject to the
axioms that are
reminiscent of
facts in...
-
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...
- Waldhausen, who
introduced this
notion (under the term
category with
cofibrations and weak equivalences) to
extend the
methods of
algebraic K-theory to...
- equivalences,
cofibrations and fibrations, respectively, are the C-local
equivalences the
original cofibrations of M and (necessarily,
since cofibrations and weak...
-
homotopy defined on a
larger space. The
homotopy extension property of
cofibrations is dual to the
homotopy lifting property that is used to
define fibrations...
- }\rightarrow \mathbf {sSet} _{\mathrm {J} }}
preserves both
cofibrations and
acyclic cofibrations,
hence as a left
adjoint with the
identity Id : s S e t...
