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Mourad to houa more : charter in Amodey 's look charter in Riehl 's look ( more comprehensive ) m lab page ou Mowat from H por of C - S .

Mourad - mathieu.anel.free.fr

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Mouradto houa more : charter

in Amodey's look

charter in Riehl's look ( more comprehensive )

m lab pageouMowat from H por of C -S .

Archétype example-

: free mauàds .

F : Set I Man : U←

wudedyingtet Mfree monod Il

unit : E set qe..

E → Uffe , =untuhpiysetef the

free monétaire-

en le )= set affinité

list lists of elementwith e- int.

W single element.

"

↳unit : Mmomàd qu'-

"FULMI → M

- fu ( mp , _ . . _

, mn) ↳ Mcmz - - - mn

theundutyioyretofUFC ) momèd on the _

inquiet oyuqtofetenutsunduhpiynetefM

'

production M -mm

F

Ma# [Set Mon DeWittlist

=M E. tu→idm.aq.it#UF

MOMIE ) = MINE ) )= List (ME ) ) -_ tisttisttel )

MINE)) Es MCE)

¢ -- utile! -→ énddé, - - . - % )) 1- (e, - - - en ,é . . _ émue," .. . - e:)liste lists single list

q.itÆm

µ : non → m} fiIs . 9 :ù

- up

µ : NEUF→ UF

multiplication a ¢( pont ) d'F)µ Fpuis build fume .

µ laahslilnamouoid- Ma µ

atsoàalivity ,M . Mon →

Mon square of naturaltransformations

relation µ.nlcomte . fpu

Mon→ µinlhecategay

µ Funlfet , set)

unitality m.M.it Eh Mon idom --

m

relation× pfff

µ looks like a mourait : that's my it is cauet a

monadecat

,

a moaat eu le is-

M:C → C eudofuudor

| y : idc→ Msalisfyiy

°""""it det"

µ : Mon→M unity relation

Ducky a commet ou C i. au eukofuudar

W :C →C with dhettuuhueefa

courir :W s' idc

comuttiplicodim :www.wsalisfjywiity" Y.ww.aew Es wow w ← wow → W

SI . lienWoW → Wawa N W

was

tromper

•J'àuyalguudien t:C ED :b

F-16

GF :C → chas alwaysanroaadstnuhme

given leg : y : il → GF ( uuiteffheetpmchèn)

µ:#lot )→GF

" Il

GLFGIF→Elit, )F

uuihahfyeoneàehuity GEFEn NG

relations du cavsequenceef the

triangularisation between qaida"

ËÊ{%

•M et ¥ fete ( catofpèutedsets )

E 1- (Ets , s )

A - LA , a)

morale structureµ : set →

set -

Ets Etre unir E ¥ Et '

the"

maybe Monod"

canonical inclusion

multiplication : Exclu -1¥ EtreK

ce ce c. omet untel . Et (res) → Et 2

using the map

1+1 → 1

• Power set :P : Set- set

¥ E [email protected]→ F ↳ PIE) → Plt

)

L -}

Monot stnutwe :nuit qe : E -

PCE )

multiplication :ftp.q-D-pcfjnstetamarsnbsetefsubsetofe.

{Ai , - - - An} 1- U Ai

1- : aha .

+ umzap.

Ai subsets of PCE) .

E

contravariant powerset p : get

"→Set

not a mode . E - PLE ) = Hamlet 2)

f.Est 1- PCE) ËPH)

P : set"

⇐ Set :P"

p → pop

ftp..tw" ÏÆMa p : fin"¥ Fin =P

"

vA- Ftp

isrelated to free

Bateauahgebras

.

• intoplogy X tep . Space . PCX) = snbsetsefx

QLX) = doute subsetsefx .

cl : PK) → pa )OK) -_ open monts g.× .

dom A 1- À)=Â > dosunof Aophidien

=intense gauchiste sets coutaimuftt

d'° " =the Smollett

dort sutset _

-Monod- unit : A→ À inclusion Remoule the dual

malien ofmattplicalieuc.TT _ À interim pondes

et checkone , mime .

|a- caméras

interior Rx) Ï PLH

A c- éntl AI = biggest open subset include

in A↳A

camarade. courût :Â ↳ A

comdhplicak.eu  = Ê

W camarade

• infect M :P→ p monod on aposetw→ wow ois au equahty .

we have alwa.gs Mon m

puis alwaysomequality.

unit x à Mr ⇒ Mx Emma

anulkpticalien MMX E Mx

Because of the

⇒ Mmx = Ma topohogicaleaaupleMdr me

had are

neeenity -

-

""à

related to TIL mes dominospossilàtity

=

monod .

•M is a menait (ej °- groups .

light) M -set=

ap

SAM =cat of set

wcthanvach.eu of M .

=Fun ( til ,

Set ) where Mis vient

ata category with onemonos 1 objet_

"

UF = M

F- f !

[ - MP ~> Set Ë Set = m

"d"

[ forget theadieu faut

t 1- M

UG-

← G-- fa fureterwmohot

eapicitly mes uSet - set → set

E 1- UFLE) =MXE

E 1- UGLE) = EN =Horn (Mi E)

ex E

mouad structure unit E- txt →MXE r I M mitefdr

multiplication7- id →t

-µ : Et

→ F

MXMXEÏ MXE m :

MXM → M

multiplication offresalisfyomxeuuir menait.became

Mmouàd .

comeaokttnutxue

Tout EM En Ef. Mit 1- y (e)

•multiplication En ELM )? EMXM

Mxm -7M

Kaufman , E) Ë Ken ( Mc El

comohad→ mourait axions

ou M -