cubically thin homotopy
Let
be squares
in
with common vertices.
- A cubically thin homotopy
between
and
is a cube
such that
- The square
is cubically
-equivalent to
denoted
if there is a cubically
thin homotopy between
and
This definition enables one to construct
, by defining a
relation
of cubically thin homotopy on the set
of squares.
-
- 1
-
K.A. Hardie, K.H. Kamps and R.W. Kieboom, A homotopy 2-groupoid of a Hausdorff space,
Applied Cat. Structures, 8 (2000): 209-234.
- 2
-
R. Brown, K.A. Hardie, K.H. Kamps and T. Porter, A homotopy double groupoid of a Hausdorff
space, Theory and Applications of Categories 10,(2002): 71-93.
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