Homology Definition & Meaning - Merriam-Webster
WEBThe similarity of a structure or function of parts of different origins based on their descent from a common evolutionary ancestor is homology. Analogy, by contrast, is a functional …
Homology (mathematics) - Wikipedia
WEBIn mathematics, homology is a general way of associating a sequence of algebraic objects, such as abelian groups or modules, with other mathematical objects such as topological spaces. Homology groups were originally defined in algebraic topology.
Homology (biology) - Wikipedia
WEBThe principle of homology: The biological relationships (shown by colours) of the bones in the forelimbs of vertebrates were used by Charles Darwin as an argument in favor of evolution. In biology, homology is similarity due to shared ancestry between a pair of structures or genes in different taxa.
Homology - Definition and Examples - Biology Online Dictionary
WEBJul 14, 2023 · In biology, homology refers to the similarity of the structure, physiology, or development of various species of other organisms as a result of their shared evolutionary parent. It plays a huge part in evolutionary biology.
Homology | Morphology, Comparative Anatomy & Genetics
WEBMar 22, 2024 · Homology, in biology, similarity of the structure, physiology, or development of different species of organisms based upon their descent from a common evolutionary ancestor. Homology is contrasted with analogy, which is a functional similarity of structure based not upon common evolutionary origins.
Homology -- from Wolfram MathWorld
WEB6 days ago · Homology is a concept that is used in many branches of algebra and topology. Historically, the term "homology" was first used in a topological sense by Poincaré. To him, it meant pretty much what is now called a bordism , meaning that a homology was thought of as a relation between manifolds mapped into a manifold.
WEBThis paper explores the basic ideas of simplicial structures that lead to simplicial homology theory, and introduces singular homology in order to demonstrate the equivalence of homology groups of homeomorphic topological spaces.
Homology | Algebraic Topology, Geometric Structures
WEBHomology, in mathematics, a basic notion of algebraic topology. Intuitively, two curves in a plane or other two-dimensional surface are homologous if together they bound a region—thereby distinguishing between an inside and an outside.
WEBHomology Basic Refs: 1. Hatcher, Algebraic topology 2. Rotman, Intro to homological algebra 3. Spanier, Algebraic topology 4. Weibel, An introduction to homological algebra 2.1 Simplicial complexes Homology came out of algebraic topology. So we review the basic constructions for intuition and motivation. Recall that a (simple) graph consists of ...
Evolution and the Concept of Homology | SpringerLink
WEBJan 1, 2024 · Homology was originally defined by Richard Owen in 1843 as “the same organ in different animals under every variety of form and function” . Its current most common usage is in the sense of phylogenetic homology, which requires presence of the phenotypic character (or trait) in the common ancestor and continuity of its expression …
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