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There are several different non-equivalent definitions of "subnet" and this article will use the definition introduced in 1970 by Stephen Willard, [1] which is as follows: If = and = are nets in a set from directed sets and , respectively, then is said to be a subnet of (in the sense of Willard or a Willard–subnet [1]) if there exists a monotone final function: such that = ().
A wildcard mask is a mask of bits that indicates which parts of an IP address are available for examination. In the Cisco IOS, [1] they are used in several places, for example:
Subnetting may also enhance routing efficiency, or have advantages in network management when subnets are administratively controlled by different entities in a larger organization. Subnets may be arranged logically in a hierarchical architecture, partitioning an organization's network address space into a tree-like routing structure, or other ...
Carrier-sense multiple access with collision avoidance (CSMA/CA) in computer networking, is a network multiple access method in which carrier sensing is used, but nodes attempt to avoid collisions by beginning transmission only after the channel is sensed to be "idle".
An example of route aggregation as a part of CIDR. A supernetwork, or supernet, is an Internet Protocol (IP) network that is formed by aggregation of multiple networks (or subnets) into a larger network.
Nets are primarily used in the fields of analysis and topology, where they are used to characterize many important topological properties that (in general), sequences are unable to characterize (this shortcoming of sequences motivated the study of sequential spaces and Fréchet–Urysohn spaces).
In complex analysis, the identically named open mapping theorem states that every non-constant holomorphic function defined on a connected open subset of the complex plane is an open map. The invariance of domain theorem states that a continuous and locally injective function between two n {\displaystyle n} -dimensional topological manifolds ...
Cauchy space – Concept in general topology and analysis; Convergence space – Generalization of the notion of convergence that is found in general topology; Filters in topology – Use of filters to describe and characterize all basic topological notions and results. Sequential space – Topological space characterized by sequences