D.
Math
670 :
Recall
fan
€18
Semi
.
The
.
the
test
:
cohomology
f
53
a
tavif Ex
B
fens
w
np
,
da
pry
,
left
.
=
,
.
the
,
d ( P^8 )
,
.
hit
try
2-
are
Ofs
are
So the cohomology
f
fm aatbpttfw
a ^
I
P
,
the
so
a
a
they 're
cstt fits & Klett 's hut
aplxf
left .int to
5
on
R
3
(
^
which indeed
=
)
.
&
,
left nut
spef
-
tht
so
B)
are
spae
Its
0
,
ex
.
.
so
,
.
to
bob
the
so
.
2 a
hangers
a
fields X 4 Z
,
,
,
we
,
is
dvd left it
no
eat
also all
,
be ER
Now
.
p
-
ohlvedv
their
ostb
8=128^4^8
p nd
-
D {
{O}
0
lsm
.
,
the
-
has tr the htft hut 2- to
d 8=2
,
f
.
8=534-+3
case
innit
the
all dad but
the
R
:
÷
28^2
left
so
obuisf
a
dp ^5
=
to its de Rhem cohmobg
isomorphic
are
f
are
8ns fen
2pn8 of
=
left hot
the
lifes
is
its the unit gnetmirs
,
late
p 8 from
,
4A
on
She
grp
3- Ain 't
s
a
tm
lie
'
fm
I
,
fns
hit
-
left int
all
Likiu
2
G
aeaott
ke
agrees
multiple
fanpn
8
.
:
Y the
wnluhomslosg
.
3
2
Groups
.
Df A L ;
:
F*
e
group
Rn Soak
:
,
Old
Ewy
Lie
these
,
grpb
a
6
by
B
a
UID
S
,
Sold
,
an
group
Uk )
,
bast
's5
Suk
,
B
a
.
'
Sun =SplD RIP
=
,
),
Sph
lie alsdn
associated
ipht
uhih
different He mfd st
&
,
,
in
.
the
6×6
mp
→
,
gin
lg His ghi
by
,
,
simply connected
Lie
gps
are
'
,
,
{ ( bob
} )} pahk f
,
apbtef deferred
by
Sk
smooth
is
,
?_
Sa 3) GLINMD SUHR ) bunk )
The 1559 the Harby
gap
ft
6
,
e)
,
Lie gps ek
their Lie
.
.
,
abets
,
so
A
Def :
real
f
C:
reek spa
E
× y, z
,
) [x
,
x
]
g
[
+
,
tr g
) :*
Matnxn HR )
glln
=
,
:S
li )
6
nose
g
is
tt
c
iii
is
,
]
x
[[
t
din
y
Ftatsf g
)
Far X YE
lid (of , E
Y
:
gx g→ g
He bout )
,
.
,
st
.
z
,
D , D=
Hncobi
0
idnt
})
by
[ A , B)
y
GEG
gp
&
of
])
[ X, 'D E
,
B
a
BA
-
.
Lie
↳ ( ) gh
h
BK )
&
=
the set
D
y
sunk vutr
are
AB
=
hg A
v.
.
f. XEXTG )
is
left innit
-
if
.
din TEG
=
=
.
GEG
Lie
a
)
redneck space & the
a
so
lit
y,
Tae
=
dLgX=X
thy
[
R
left & right trasbki
Define
;]
M
w/ [ IT ]
1123
.
bitw operator E
npyj
m
.
a
art bmmntivig ] )
[
la Hunting
O
( ii ) [ [ × D E)
Et
if it b
Le 91dm
a
of
=
,
B
euklm
din 6
=
fields
Cf
dsebn
-
.
g
→
Tel
fields
an
gun by
6 then
.
UDA
=
Xe
B
a
v. s
.
Boughn
,
.
.
che C
,
f
left not vedv
'
,
]
B the
ul
lie
baht
of
net folds
.
/