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About
References to 'closed set'
1.
$C^*$-algebra homomorphisms have closed images
by
asteroid
2.
$F_\sigma$ set
by
rspuzio
3.
$T4$ space
by
matte
4.
a closed subset of a complete metric space is complete
by
ehremo
5.
a connected and locally path connected space is path connected
by
Mathprof
6.
a connected normal space with more than one point is uncountable
by
azdbacks4234
7.
a space $\mathnormal{X}$ is Hausdorff if and only if $\Delta(X)$ is closed
by
mathcam
8.
a space is compact iff any family of closed sets having fip has non-empty intersection
by
CWoo
9.
a space is connected under the ordered topology if and only if it is a linear continuum.
by
dfeuer
10.
a space is T1 if and only if every subset A is the intersection of all open sets containing A
by
waj
11.
absolute retract
by
rspuzio
12.
adjunction space
by
antonio
13.
affine variety
by
mathcam
14.
algebraic geometry
by
archibal
15.
algebraic lattice
by
CWoo
16.
almost continuous function
by
Wkbj79
17.
alternative characterizations of Noetherian topological spaces
by
yark
18.
alternative characterizations of Noetherian topological spaces, proof of
by
yark
19.
analytic set
by
gel
20.
analytic sets define a closure operator
by
gel
21.
applications of Urysohn's Lemma to locally compact Hausdorff spaces
by
azdbacks4234
22.
axiom of determinacy
by
CWoo
23.
Borel functional calculus
by
asteroid
24.
boundary / frontier
by
yark
25.
boundary of a closed set is nowhere dense
by
neapol1s
26.
bounded complete
by
CWoo
27.
bounded linear extension of an operator
by
asteroid
28.
Cantor-Bendixson theorem
by
CWoo
29.
circulation and vorticity
by
perucho
30.
clopen subset
by
mathcam
31.
closed graph theorem
by
Koro
32.
closed ideals in $C^*$-algebras are self-adjoint
by
asteroid
33.
closed immersion
by
djao
34.
closed set in a compact space is compact
by
mathcam
35.
closed set in a subspace
by
yark
36.
closed subsets of a compact set are compact
by
Wkbj79
37.
closure
by
mathwizard
38.
closure and interior of Cantor set
by
rspuzio
39.
closure space
by
CWoo
40.
cofinite and cocountable topologies
by
yark
41.
collectionwise normal
by
mathcam
42.
compact element
by
CWoo
43.
compact operator
by
mhale
44.
compact pavings are closed subsets of a compact space
by
gel
45.
compactness and accumulation points of nets
by
azdbacks4234
46.
compactness is preserved under a continuous map
by
yark
47.
completely separated
by
CWoo
48.
completeness under ucp convergence
by
gel
49.
complex analytic manifold
by
jirka
50.
compound interest
by
CWoo
51.
cone in $\mathbb{R}^3$
by
pahio
52.
continuous geometry
by
CWoo
53.
continuous poset
by
CWoo
54.
continuous relation
by
CWoo
55.
corollary of Banach-Alaoglu theorem
by
karstenb
56.
countable unions and intersections of analytic sets are analytic
by
gel
57.
dense in-itself
by
rspuzio
58.
derivation of Binet formula
by
drini
59.
derivation of properties on interior operation
by
CWoo
60.
development
by
mathcam
61.
diagonal embedding
by
waj
62.
equivalent definitions of analytic sets
by
gel
63.
equivalent formulations for continuity
by
matte
64.
every subspace of a normed space of finite dimension is closed
by
Mathprof
65.
exact trigonometry tables
by
stevecheng
66.
example of Dirac sequence
by
Johan
67.
examples of compact spaces
by
yark
68.
examples of locally compact and not locally compact spaces
by
AxelBoldt
69.
finite complement topology
by
mathcam
70.
finite intersection property
by
azdbacks4234
71.
F\"urstenberg's proof of the infinitude of primes
by
mathcam
72.
Galois connection
by
CWoo
73.
gluing together continuous functions
by
yark
74.
handle decomposition
by
RobKing
75.
Harnack's principle
by
Mathprof
76.
Hausdorff space
by
yark
77.
Hausdorff space not completely Hausdorff
by
drini
78.
Hilbert parallelotope
by
rspuzio
79.
hitting times are stopping times
by
gel
80.
How are normal and T4 spaces defined in books?
by
Mathprof
81.
hyperconnected space
by
yark
82.
infinite Galois theory
by
djao
83.
insertion operation on languages
by
CWoo
84.
integral mean value theorem
by
me_and
85.
invariant forms on representations of compact groups
by
bwebste
86.
invariant subspace problem
by
asteroid
87.
irreducible
by
mathcam
88.
KKM lemma
by
uriw
89.
Krull dimension
by
mathcam
90.
Kuratowski closure-complement theorem
by
CWoo
91.
line segment
by
matte
92.
locally closed
by
asteroid
93.
M. H. Stone's representation theorem
by
rspuzio
94.
meet continuous
by
CWoo
95.
metric space
by
djao
96.
Noetherian topological space
by
mathcam
97.
noncommutative topology
by
asteroid
98.
normal
by
Koro
99.
open mapping
by
Koro
100.
optional process
by
gel
101.
order of a profinite group
by
mathcam
102.
ordered space
by
CWoo
103.
ordered topological vector space
by
CWoo
104.
ordinal space
by
CWoo
105.
partial ordering in a topological space
by
CWoo
106.
places of holomorphic function
by
pahio
107.
polynomial function is a proper map
by
joking
108.
prime spectrum
by
CWoo
109.
product topology
by
CWoo
110.
proof of Banach-Alaoglu theorem
by
Mathprof
111.
proof of Baire space is universal for Polish spaces
by
gel
112.
proof of characterization of connected compact metric spaces.
by
paolini
113.
proof of completeness under ucp convergence
by
gel
114.
proof of equivalent definitions of analytic sets for measurable spaces
by
gel
115.
proof of equivalent definitions of analytic sets for paved spaces
by
gel
116.
proof of equivalent definitions of analytic sets for Polish spaces
by
gel
117.
proof of Heine-Borel theorem
by
stevecheng
118.
proof of hitting times are stopping times for right-continuous processes
by
gel
119.
proof of injective images of Baire space
by
gel
120.
proof of inverse function theorem (topological spaces)
by
paolini
121.
proof of Krein-Milman theorem
by
georgiosl
122.
proof of properties of the closure operator
by
archibal
123.
proof of the d\'ebut theorem
by
gel
124.
proof of Tietze extension theorem
by
bbukh
125.
proof of Urysohn's lemma
by
scanez
126.
proof that a compact set in a Hausdorff space is closed
by
yark
127.
proof that components of open sets in a locally connected space are open
by
Mathprof
128.
properties of compact spaces
by
rspuzio
129.
properties of non-archimedean valuations
by
rm50
130.
properties of the closure operator
by
matte
131.
quotients in $C^*$-algebras
by
asteroid
132.
quotients of Banach algebras
by
asteroid
133.
real analytic subvariety
by
jirka
134.
recession cone
by
CWoo
135.
relationship among different kinds of compactness
by
rm50
136.
scattered space
by
CWoo
137.
scheme
by
djao
138.
semicontinuous
by
bwebste
139.
separated
by
matte
140.
separation axioms
by
Koro
141.
simple interest
by
CWoo
142.
sober space
by
CWoo
143.
something related to Alexandrov one-point compactification
by
adrianita
144.
Sorgenfrey half-open plane
by
rspuzio
145.
spectrum is a non-empty compact set
by
asteroid
146.
Stein manifold
by
jirka
147.
Stone-\v{C}ech compactification
by
rspuzio
148.
support of function
by
matte
149.
T3 space
by
yark
150.
The property that compact sets in a space are closed lies strictly between T1 and T2
by
dfeuer
151.
the union of a locally finite collection of closed sets is closed
by
yark
152.
theorems on complex function series
by
pahio
153.
thin algebraic set
by
alozano
154.
Thurston's geometrization conjecture
by
PrimeFan
155.
Tietze extension theorem
by
matte
156.
topological complement
by
asteroid
157.
topological group
by
yark
158.
topological space
by
djao
159.
topological vector lattice
by
CWoo
160.
torus
by
Daume
161.
traveling hump sequence
by
Wkbj79
162.
ultraconnected space
by
yark
163.
uncountable Polish spaces contain Cantor space
by
gel
164.
unit disc
by
PrimeFan
165.
Urysohn's lemma
by
yark
166.
von Neumann double commutant theorem
by
asteroid
167.
Zariski topology
by
djao
168.
zero of a function
by
mathcam
169.
zero set of a topological space
by
CWoo