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In topology, a topological property is said to be hereditary if whenever a topological space has that property, then so does every subspace of it. If the latter is true only for closed subspaces, then the property is called weakly hereditary or closed-hereditary. For example, second countability and metrisability are hereditary properties.
An example of a corporeal hereditament is land held in freehold [1] and in leasehold. Examples of incorporeal hereditaments are hereditary titles of honour or dignity, heritable titles of office, coats of arms, prescriptive baronies, pensions, annuities, rentcharges, franchises — and any other interest having no physical existence. [3]
Heredity, also called inheritance or biological inheritance, is the passing on of traits from parents to their offspring; either through asexual reproduction or sexual reproduction, the offspring cells or organisms acquire the genetic information of their parents.
A topological space X is called hereditarily collectionwise normal if every subspace of X with the subspace topology is collectionwise normal.. In the same way that hereditarily normal spaces can be characterized in terms of separated sets, there is an equivalent characterization for hereditarily collectionwise normal spaces.
This is an accepted version of this page This is the latest accepted revision, reviewed on 29 December 2024. Science of genes, heredity, and variation in living organisms This article is about the general scientific term. For the scientific journal, see Genetics (journal). For a more accessible and less technical introduction to this topic, see Introduction to genetics. For the Meghan Trainor ...
In materials science, an intrinsic property is independent of how much of a material is present and is independent of the form of the material, e.g., one large piece or a collection of small particles. Intrinsic properties are dependent mainly on the fundamental chemical composition and structure of the material. [1]
The tug of war between BlackRock and FDIC is the latest example of rising D.C. scrutiny of BlackRock, which oversees $11 trillion in assets. For years, the financial giant has been a target of GOP ...
For example, the first cannot be hereditarily finite since it contains at least one infinite set as an element, when = {,,, …}. The class of all hereditarily finite sets is denoted by H ℵ 0 {\displaystyle H_{\aleph _{0}}} , meaning that the cardinality of each member is smaller than ℵ 0 {\displaystyle \aleph _{0}} .