Simply connected space (6044 bytes)
4: ...or, in a somewhat old-fashioned term, '''multiply connected'''.
6: ...ct. Formally, such a simple object is called a [[connected space]], but for our informal definition, we can ...
10: ...oop caught in the object, then it '''is''' simply connected.
18: ...'simply connected'' if it is [[connectedness|path-connected]] and any [[continuous]] map ''f'' : S<sup>1</sup...
20: ...ng the endpoints fixed. Hence the term ''simply'' connected: for any two given points in ''X'', there is one ...

Semi-locally simply connected (1459 bytes)
2: ...al space]] ''X'' is called '''semi-locally simply connected''' if every [[point]] ''x'' in ''X'' has a [[neig...
4: ...xample of a space that is not semi-locally simply connected is the [[Hawaiian earring]]: the [[union]] of the...
6: ...connected, but it is clearly not [[locally simply connected]].
8: ...locally path-connected]], and semi-locally simply connected.

Simply Red (2822 bytes)
1: '''Simply Red''' is a [[United Kingdom|British]] band curre...
11: * ''[[Life (Simply Red album)|Life]]'' (1995)
13: * ''[[Blue (Simply Red album)|Blue]]'' (1998)
16: * ''[[Home (Simply Red album)|Home]]'' (2003)
39: * 1997 "Night Nurse" (Sly & Robbie feat. Simply Red) #13 UK

Simply Irresistible (1218 bytes)
1: '''''Simply Irresistible''''' is a 1999 [[romantic comedy]] t...
16: ...d ''Vanilla Fog'', but the title was changed to ''Simply Irresistible'' when the filmmakers decided that '...

Simply Smiffy (430 bytes)
1: '''Simply Smiffy''' was a [[comic strip]] in the [[United K...

Simply Accounting (967 bytes)
1: '''Simply Accounting''' is the brand name of a [[closed sof...

Simply laced group (301 bytes)
3: ...e corresponding Lie algebra have the same length. Simply laced groups admit the [[ADE classification]].

Simply Mad About The Mouse (473 bytes)
1: '''''Simply Mad About The Mouse''''' is a [[direct-to-video]]...

Bounce connected (759 bytes)
1: [[Image:Bounce_connect.jpg|right|bounce connected cover]]
2: {{wrongtitle|title=bounce connected}}
3: '''bounce connected''' is a live [[techno music|techno]] album by [[T...

Connected sum (2911 bytes)
1: ...], a '''connected sum''' of two [[connected space|connected]] <math>m</math>-dimensional [[manifold]]s is a m...
3: ...oth manifolds are [[oriented]], there is a unique connected sum defined by having the gluing map reverse orie...
5: ...ath>, for example <math>A \# B</math> denotes the connected sum of <math>A</math> and <math>B</math>.
7: The operation of connected sum has the sphere, <math>S^m</math>, as an [[ide...
11: ...]. Every [[compact space|compact]] surface is the connected sum of one of the [[sphere]], [[projective plane]...

Cloud Connected (617 bytes)
1: '''''Cloud Connected''''' is a single by the Swedish melodic [[death m...
3: The song ''Cloud Connected'' was originally featured on the album [[Reroute ...
9: # Cloud Connected (3:42)
11: # Cloud Connected ([[MPEG]] video)

Connected category (366 bytes)
1: '''Connected category''' is a [[category theory]] term referri...
3: An example of a simple connected category containing two objects and a single morp...

Connected space (6279 bytes)
1: ...e the [[empty set]] with its unique topology as a connected space, but this encyclopedia does not follow that...
5: #''X'' is connected.
11: ...ubsets of any topological space are called the '''connected components''' of the space.
15: ...ally disconnected'''. A space ''X'' is totally disconnected iff, for any two elements ''x'' and ''y'' of ''X'...
17: ==Path connectedness==

Connected component (262 bytes)
1: '''Connected component'''s come up in [[topology]] and in [[gr...
2: *For the graph-theoretic concept, see [[Connected component (graph theory)]].
3: *For the topological concept, see [[Connected space]].

Connected Device Configuration (710 bytes)
1: The Connected Device Configuration (CDC) is a framework for bui...

Strongly connected component (312 bytes)
1: ...''') of a directed graph are its maximal strongly connected subgraphs.

Connected (category theory) (310 bytes)
1: '''Connected''' is a [[category theory]] term referring to the...
3: An example of two connected objects by a single morphism is as follows:

Connected Limited Device Configuration (2089 bytes)
1: The '''Connected Limited Device Configuration''' (CLDC) is a [[fra...

Connected component (graph theory) (1941 bytes)
1: ...ween them. A nonempty [[connected graph]] has one connected component.
7: The connected components are then the [[equivalence class]]es o...
9: ...panning tree]] or a [[maximum matching]] for each connected component, their union is a minimum spanning fore...
11: Many computational problems related to connected components are complete for the [[complexity clas...
12: ...rtices in the same connected component? Different connected components?

Unicoherent (356 bytes)
1: .../math> is said to be '''unicoherent''' if it is [[connected]] and the following property holds:
3: ...</math>, the intersection <math>A\cap B</math> is connected.
6: ...to the condition of <math>X</math> being [[simply connected]]...)

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