Description
A detailed tutorial on isomorphism. Step by step tutorial including several examples of isomorphism for reference.
Overview
Isomorphism is a topic and concept that is commonly used in abstract algebra. Let (G, o) and (H, *) be groups. A homomorphism h: (G, o) –> (H, *) that is one-to-one and onto H is called an isomorphism. If h is an isomorphism, we say that (G, o) and (H, *) are isomorphic. Homomorphism is the inverse of isomorphism.
Description
A detailed tutorial on homomorphism. Step by step tutorial including several examples of homomorphism for reference.
Overview
Homomorphism is a topic and concept that is commonly used in abstract algebra. Let (G, o) and (H, *) be groups. An mapping of h: (G, o) –> (H, *) is called a homomorphism from (G, o) to (H, *). The range of h is called the homomorphic image of (G, o) under h. Isomorphism is the inverse of homomorphism.
Description
A detailed tutorial on the mathematical study of topology. Step by step tutorial including several examples of topology for reference.
Overview
Topology is a study in mathematics that deals with space and spatial properties of objects. There are several different types of topology. The most common topics, called subtopics, are point-set topology, algebraic topology, geometric topology, and low dimensional topology. Topology may be a familiar sounding name to you – doubtless you have heard of a “topographical map,” used in science classes. However, the way the topographic map is created is with the study of math known as topology.
