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The space is said to be path-connected (or pathwise connected or -connected) if there is exactly one path-component. For non-empty spaces, this is equivalent to the statement that there is a path joining any two points in X {\displaystyle X} .
In topology, a topological space is called simply connected (or 1-connected, or 1-simply connected [1]) if it is path-connected and every path between two points can be continuously transformed into any other such path while preserving the two endpoints in question.
This list of Internet top-level domains (TLD) contains top-level domains, which are those domains in the DNS root zone of the Domain Name System of the Internet. A list of the top-level domains by the Internet Assigned Numbers Authority (IANA) is maintained at the Root Zone Database. [ 1 ]
The term domain is also commonly used in a different sense in mathematical analysis: a domain is a non-empty connected open set in a topological space. In particular, in real and complex analysis , a domain is a non-empty connected open subset of the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} or the complex coordinate space C n ...
A Jordan curve or a simple closed curve in the plane is the image of an injective continuous map of a circle into the plane, :.A Jordan arc in the plane is the image of an injective continuous map of a closed and bounded interval [,] into the plane.
The Public Suffix List is intended to enumerate all domain suffixes controlled by registrars, as well as those controlled privately such as github.io. [8] An internet site consists of the online resources which can be controlled by the registrant of a domain name. That includes resources available via the domain and all its sub-domains.
Dot-separated fully qualified domain names are the primarily used form for human-readable representations of a domain name. Dot-separated domain names are not used in the internal representation of labels in a DNS message [7] but are used to reference domains in some TXT records and can appear in resolver configurations, system hosts files, and URLs.
An internationalized country code top-level domain (IDN ccTLD) is a top-level domain with a specially encoded domain name that is displayed in an end user application, such as a web browser, in its native language script or a non-alphabetic writing system, such as Latin script (.us, .uk and .br), Indic script (. भारत) and Korean script (.