Basic Algebraic Topology

List of Symbols and Abbreviations

ℕ	set of natural numbers
ℚ	field of rational numbers
ℂ	field of complex numbers
ℤm	ring of integers modulo m
ⅅn	unit disc in ℝn
ℙn	real projective space of dim. n
ℝ∞	countable infinite sum of ℝ
ℙ∞	infinite real projective space
C X	cone over X
Cf	mapping cone of f
LHS	left hand side
WLOG	without loss of generality
DR	deformation retract
HED	homotopy extension data
HLD	homotopy lifting data
UCT	universal coefficient theorem
PID	principal ideal domain
ℤ	ring of integers
ℝ	field of real numbers
ℍ	skew field of quaternions
$\mathbb{I}$	unit interval [0, 1] ⊂ ℝ
$\mathbb{S}$n–1	unit sphere in ℝn
ℂℙn	complex projective space of dim. n
$\mathbb{S}$∞	unit sphere in ℝ∞
ℂℙ∞	infinite complex projective ...