Last Updated:2025/12/31
Sentence
Category
theory
also
contributes
new
proof
techniques,
such
as
diagram
chasing
or
arguments
by
duality;
Steenrod
called
these
methods
“abstract
nonsense.”³
The
aim
of
this
text
is
to
introduce
the
language,
philosophy,
and
basic
theorems
of
category
theory.
A
complementary
objective
is
to
put
this
theory
into
practice:
studying
functoriality
in
algebraic
topology,
naturality
in
group
theory,
and
universal
properties
in
algebra.
Quizzes for review
Category theory also contributes new proof techniques, such as diagram chasing or arguments by duality; Steenrod called these methods “abstract nonsense.”³ The aim of this text is to introduce the language, philosophy, and basic theorems of category theory. A complementary objective is to put this theory into practice: studying functoriality in algebraic topology, naturality in group theory, and universal properties in algebra.
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