(more info)
Math for the people, by the people.
donor list
-
find out how
Encyclopedia
|
Requests
|
Forums
|
Docs
|
Wiki |
Random
|
RSS
Advanced search
Login
create new user
name:
pass:
forget your password?
Main Menu
sections
Encyclopædia
Papers
Books
Expositions
meta
Requests
(236)
Orphanage
Unclass'd
(1)
Unproven
(540)
Corrections
(50)
Classification
talkback
Polls
Forums
Feedback
Bug Reports
downloads
Snapshots
PM Book
information
News
Docs
Wiki
ChangeLog
TODO List
Copyright
About
References to 'bijection'
1.
$\mathcal{U}$-small
by
mathcam
2.
a connected normal space with more than one point is uncountable
by
azdbacks4234
3.
a functor is an equivalence iff it is fully faithful and essentially surjective
by
CWoo
4.
a surjection between finite sets of the same cardinality is bijective
by
ratboy
5.
adjoint functor
by
mps
6.
affine geometry
by
CWoo
7.
affine transformation
by
matte
8.
algebraic geometry
by
archibal
9.
algebraic numbers are countable
by
pahio
10.
algebraic sets and polynomial ideals
by
mathcam
11.
algebraic system
by
CWoo
12.
alternating group has index 2 in the symmetric group, the
by
yesitis
13.
alternating harmonic series
by
CWoo
14.
alternative characterizations of recursive functions
by
rspuzio
15.
alternative definition of cardinality
by
CWoo
16.
alternative definition of category
by
rspuzio
17.
alternative definition of category
by
rspuzio
18.
alternative definitions of countable
by
CWoo
19.
an injection between two finite sets of the same cardinality is bijective
by
alozano
20.
analytic geometry
by
pahio
21.
anti-isomorphism
by
Mathprof
22.
autofunctor
by
mathcam
23.
automorphism
by
mathcam
24.
axiom of countable choice
by
yark
25.
axiom of dependent choices
by
CWoo
26.
binary Gray code
by
mathcam
27.
Borel isomorphism
by
bci1
28.
Borel space
by
bci1
29.
calculus of subgroup orders
by
Algeboy
30.
Cantor set
by
yark
31.
Cantor's paradox
by
Henry
32.
Cantor's theorem
by
Wkbj79
33.
cardinality
by
yark
34.
cardinality of disjoint union of finite sets
by
mathcam
35.
category of Borel spaces
by
bci1
36.
Cayley's parameterization of orthogonal matrices
by
rspuzio
37.
centralizer
by
drini
38.
chain
by
CWoo
39.
change of variables in integral on $\mathbb{R}^n$
by
stevecheng
40.
characterization of convergence of sequences in metric spaces
by
gumau
41.
characterization of free submonoids
by
Ziosilvio
42.
classification of covering spaces
by
Dr_Absentius
43.
compass and straightedge construction
by
Wkbj79
44.
conformality of stereographic projection
by
pahio
45.
conformally equivalent
by
Koro
46.
conic section
by
drini
47.
conjugacy classes in the symmetric group $S_n$
by
rm50
48.
constructible numbers
by
CWoo
49.
constructing automata from regular languages
by
CWoo
50.
construction of a Brandt groupoid
by
CWoo
51.
construction of polar coordinates
by
CWoo
52.
continuous functional calculus
by
asteroid
53.
converting between the Poincar\'{e} disc model and the upper half plane model
by
Wkbj79
54.
countable
by
vampyr
55.
countably infinite
by
vampyr
56.
cycle
by
yark
57.
cyclic permutation
by
CWoo
58.
De Morgan algebra
by
CWoo
59.
derivation language
by
CWoo
60.
derivative as parameter for solving differential equations
by
pahio
61.
diamond lemma
by
CWoo
62.
differential geometry
by
rspuzio
63.
dimension
by
bbukh
64.
direct limit of sets
by
CWoo
65.
discrete space
by
mathcam
66.
divisor function is multiplicative, the
by
yark
67.
dual space
by
Daume
68.
elementary proof of orders
by
Algeboy
69.
elliptic curve
by
djao
70.
enumerative combinatorics
by
mps
71.
equivalence class
by
mathcam
72.
equivalence class of equinumerous sets is not a set
by
CWoo
73.
estimation of index of intersection subgroup
by
pahio
74.
Euclidean space as a manifold
by
matte
75.
example of continuous bijections which are not homeomorphisms
by
joking
76.
example of free module with bases of diffrent cardinality
by
joking
77.
example of quasi-affine variety that is not affine
by
Mathprof
78.
examples of countable sets
by
CWoo
79.
examples of finite simple groups
by
mathcam
80.
exponential function
by
CWoo
81.
exponential object
by
CWoo
82.
Ext
by
mathcam
83.
faithful group action
by
rspuzio
84.
finite
by
djao
85.
finite and countable discrete spaces
by
matte
86.
finite projective plane
by
Mathprof
87.
finite-dimensional linear problem
by
rmilson
88.
fourth isomorphism theorem
by
bwebste
89.
free objects in concrete categories
by
joking
90.
free product
by
yark
91.
free semigroup with involution
by
Mazzu
92.
free vector space over a set
by
mathcam
93.
Galois connection
by
CWoo
94.
generalized toposes with many-valued logic subobject classifiers
by
bci1
95.
geometric proof of Pythagorean triplet
by
rm50
96.
geometry as the study of invariants under certain transformations
by
rspuzio
97.
graph homomorphism
by
CWoo
98.
graph isomorphism
by
vampyr
99.
group extension
by
CWoo
100.
group homomorphism
by
yark
101.
handle decomposition
by
RobKing
102.
homogeneous space
by
rmilson
103.
homomorphism between partial algebras
by
CWoo
104.
homotopes and isotopes of algebras
by
Algeboy
105.
homotopy with a contractible domain
by
joking
106.
ideals in matrix algebras
by
mathcam
107.
ideals with maximal radicals are primary
by
joking
108.
identity map
by
bwebste
109.
if $A$ is infinite and $B$ is a finite subset of $A\,\!,$ then $A\setminus B$ is infinite
by
mathcam
110.
imaginaries
by
mathcam
111.
incidence geometry
by
CWoo
112.
index of set theory
by
rspuzio
113.
infinite
by
yark
114.
infinite Galois theory
by
djao
115.
intercession
by
WM
116.
inverse function
by
matte
117.
inverse function theorem (topological spaces)
by
mathcam
118.
invertible linear transformation
by
djao
119.
isometry
by
yark
120.
isomorphic groups
by
alozano
121.
isotope of a groupoid
by
CWoo
122.
Julius K\"onig
by
WM
123.
Kautz graph
by
wati
124.
lattice paths and ballot numbers
by
rm50
125.
linear algebra
by
rmilson
126.
linear isomorphism
by
matte
127.
logicism
by
gribskoff
128.
mapping of period $n$ is a bijection
by
Koro
129.
matrix
by
bbukh
130.
matrix representation of a linear transformation
by
CWoo
131.
matroid
by
mps
132.
maximal ideals of the algebra of continuous functions on a compact set
by
asteroid
133.
motivation of definition of constructible numbers
by
Wkbj79
134.
M\"obius transformation
by
Koro
135.
natural numbers identified with binary strings
by
tromp
136.
near operators
by
mathcam
137.
neighborhood system on a set
by
CWoo
138.
Noetherian topological space
by
mathcam
139.
number of unrooted labeled trees
by
rm50
140.
numerable set
by
juanman
141.
one-parameter subgroup
by
CWoo
142.
open and closed intervals have the same cardinality
by
mps
143.
orbit-stabilizer theorem
by
yark
144.
ordered vector space
by
CWoo
145.
ordering on cardinalities
by
CWoo
146.
orthocomplemented lattice
by
CWoo
147.
orthogonal Latin squares
by
CWoo
148.
pairing function
by
rspuzio
149.
partition is equivalent to an equivalence relation
by
CWoo
150.
pentagonal number theorem
by
bbukh
151.
period of mapping
by
bwebste
152.
permanent
by
marijke
153.
permutation
by
alozano
154.
perspectivity
by
CWoo
155.
pigeonhole principle
by
djao
156.
polarities and forms
by
Algeboy
157.
polarity
by
Algeboy
158.
polynomials in algebraic systems
by
CWoo
159.
power set
by
matte
160.
prime spectrum
by
CWoo
161.
product of countable sets
by
CWoo
162.
projective geometry
by
Algeboy
163.
projective line configurations
by
rspuzio
164.
projective space
by
rmilson
165.
projectivity
by
CWoo
166.
proof of Cantor's theorem
by
Wkbj79
167.
proof of closed graph theorem
by
Koro
168.
proof of convergence criterion for infinite product
by
cvalente
169.
proof of equivalent definitions of analytic sets for paved spaces
by
gel
170.
proof of first isomorphism theorem
by
uriw
171.
proof of fourth isomorphism theorem
by
aoh45
172.
proof of fundamental theorem of Galois theory
by
pbruin
173.
proof of Hausdorff paradox
by
GrafZahl
174.
proof of invariance of dimension
by
Algeboy
175.
proof of pigeonhole principle
by
Wkbj79
176.
proof of pseudoparadox in measure theory
by
rspuzio
177.
proof of quadratic reciprocity rule
by
mathcam
178.
proof of Riemann mapping theorem
by
rspuzio
179.
proof of Schroeder-Bernstein theorem using Tarski-Knaster theorem
by
kompik
180.
proof of the Burnside basis theorem
by
Algeboy
181.
proof of Zermelo's well-ordering theorem
by
Henry
182.
proof that a Noetherian domain is Dedekind if it is locally a PID
by
gel
183.
proof that countable unions are countable
by
Koro
184.
proof that the rationals are countable
by
alozano
185.
properties of a function
by
CWoo
186.
properties of a gcd domain
by
CWoo
187.
properties of an affine transformation
by
CWoo
188.
properties of bijections
by
CWoo
189.
properties of ordinals
by
CWoo
190.
pullback
by
matte
191.
quadratic map
by
Algeboy
192.
quasi-inverse of a function
by
CWoo
193.
quotient category
by
CWoo
194.
quotient group
by
azdbacks4234
195.
rational numbers are real numbers
by
matte
196.
relational system
by
CWoo
197.
representation theory of $\mathfrak{sl}_2 \mathbb{C}$
by
benjaminfjones
198.
residuated
by
CWoo
199.
Riemann sphere
by
CWoo
200.
Riemann's theorem on rearrangements
by
Gorkem
201.
ring homomorphism
by
djao
202.
root system underlying a semi-simple Lie algebra
by
rmilson
203.
Schroeder-Bernstein theorem, proof of
by
mps
204.
Schr\"oder-Bernstein theorem
by
yark
205.
semiautomaton homomorphism
by
CWoo
206.
semidirect product of groups
by
djao
207.
set
by
Mathprof
208.
similarity in geometry
by
pahio
209.
simplicial complex
by
djao
210.
structure homomorphism
by
almann
211.
structure sheaf
by
djao
212.
subobject classifier
by
CWoo
213.
subsets of countable sets are countable
by
beke
214.
sufficient statistic
by
CWoo
215.
symmetric group
by
bwebste
216.
symmetric group
by
antizeus
217.
symmetric group on three letters
by
Wkbj79
218.
tangent space
by
rmilson
219.
tensor product of dual spaces is a dual space of tensor product
by
joking
220.
the Cartesian product of a finite number of countable sets is countable
by
BenB
221.
the groups of real numbers
by
Algeboy
222.
the sum of the values of a character of a finite group is $0$
by
alozano
223.
things counted by the Catalan numbers
by
rm50
224.
Thom class
by
antonio
225.
topology via converging nets
by
CWoo
226.
transposition
by
drini
227.
two isomorphic groups
by
Wkbj79
228.
Tychonoff's theorem implies AC
by
CWoo
229.
types of homomorphisms
by
rspuzio
230.
uncountable Polish spaces contain Cantor space
by
gel
231.
uniqueness of cardinality
by
mathcam
232.
unit of adjunction
by
CWoo
233.
vector
by
rmilson
234.
vector spaces are isomorphic iff their bases are equipollent
by
CWoo
235.
von Neumann-Bernays-G\"odel set theory
by
Aatu
236.
Wagner-Preston representation theorem
by
Mazzu