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Trivialization or trivialisation may refer to:
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In mathematics, a vector bundle is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space X : to every point x of the space X we associate a vector space V(x) in such a way that these vector spaces fit together to form another space of the same kind as X, which is then called a vector bundle over X.
In mathematics, and particularly topology, a fiber bundle is a space that is locally a product space, but globally may have a different topological structure. Specifically, the similarity between a space E and a product space is defined using a continuous surjective map
In mathematics, a principal bundle is a mathematical object that formalizes some of the essential features of the Cartesian product X × G of a space X with a group G. In the same way as with the Cartesian product, a principal bundle P is equipped with
In mathematics, a frame bundle is a principal fiber bundle F(E) associated to any vector bundle E. The fiber of F(E) over a point x is the set of all ordered bases, or frames, for Ex. The general linear group acts naturally on F(E) via a change of basis, giving the frame bundle the structure of a principal GL(k, R)-bundle.
In mathematics, the theory of fiber bundles with a structure group allows an operation of creating an associated bundle, in which the typical fiber of a bundle changes from to , which are both topological spaces with a group action of . For a fibre bundle F with structure group G, the transition functions of the fibre in an overlap of two coordinate systems Uα and Uβ are given as a G-valued function gαβ on Uα∩Uβ. One may then construct a fibre bundle F′ as a new fibre bundle having the same transition functions, but possibly a different fibre.
The Quillen–Suslin theorem, also known as Serre's problem or Serre's conjecture, is a theorem in commutative algebra about the relationship between free modules and projective modules over polynomial rings. It states that every finitely generated projective module over a polynomial ring is free.
In mathematics, a pullback bundle or induced bundle is the fiber bundle that is induced by a map of its base-space. Given a fiber bundle π : E → B and a continuous map f : B′ → B one can define a "pullback" of E by f as a bundle f*E over B′. The fiber of f*E over a point b′ in B′ is just the fiber of E over f(b′). Thus f*E is the disjoint union of all these fibers equipped with a suitable topology.
Verbal abuse is when a person forcefully criticizes, insults, or denounces someone else. Characterized by underlying anger and hostility, it is a destructive form of communication intended to harm the self-concept of the other person and produce negative emotions. Verbal abuse is a maladaptive mechanism that anyone can display occasionally, such as during times of high stress or physical discomfort. For some people, it is a pattern of behaviors used intentionally to control or manipulate others or to get revenge.
In mathematics, the fiber bundle construction theorem is a theorem which constructs a fiber bundle from a given base space, fiber and a suitable set of transition functions. The theorem also gives conditions under which two such bundles are isomorphic. The theorem is important in the associated bundle construction where one starts with a given bundle and surgically replaces the fiber with a new space while keeping all other data the same.
MyFreeImplants is a website based on the social networking model. The service purports to be an alternative to traditional cosmetic surgery financing methods. Models participate on the website with the main goal of raising money to fund a breast augmentation procedure through online donations.
In mathematics, the dual bundle of a vector bundle π : E → X is a vector bundle π∗ : E∗ → X whose fibers are the dual spaces to the fibers of E. The dual bundle can be constructed using the associated bundle construction by taking the dual representation of the structure group.
Acoustic Archives is a 1998 acoustic album by Christian metal band Tourniquet. All of the songs are performed acoustically except for the new song "Trivializing the Momentous, Complicating the Obvious".
Carol Leigh, a.k.a. The Scarlot Harlot is an American artist, author, film maker, and sex workers' rights activist. She is credited with coining the term "sex worker" at a Women Against Violence in Pornography and Media conference in the late 1970s. The terminology used at the conference for the sex industry was the “Sex Use Industry”. The phrasing bothered her because it objectified sex workers and trivialized the agency they had when organizing their labor. She suggested that the panel be renamed “Sex Work Industry” and began to use the term in her one-woman plays before the first published use of “sex worker” appeared in a 1984 Associated Press newswire. She explains in a later essay named “Inventing Sex Work” that
“I invented sex work. Not the activity, of course. The term. This invention was motivated by my desire to reconcile my feminist goals with the reality of my life and the lives of the women I knew. I wanted to create an atmosphere of tolerance within and outside the women's movement for women working in the sex industry.”
The Politics of Anti-Semitism is a book edited by Alexander Cockburn and Jeffrey St. Clair and published by AK Press in 2003.
Many authors argue that a metaphorical use of the word Holocaust constitutes Holocaust trivialization, and many consider such uses offensive. In the words of Holocaust survivor and memoirist Elie Wiesel,
I cannot use [the word 'Holocaust'] anymore. First, because there are no words, and also because it has become so trivialized that I cannot use it anymore. Whatever mishap occurs now, they call it 'holocaust'. I have seen it myself in television in the country in which I live. A commentator describing the defeat of a sports team, somewhere, called it a 'holocaust'. I have read in a very prestigious newspaper published in California, a description of the murder of six people, and the author called it a holocaust. So, I have no words anymore.
Jim Crow was a rap group made up of Polow da Don, Cutty Cartel, Damon Holmes and Mr. Mo.
Official culture is the culture that receives social legitimation or institutional support in a given society. Official culture is usually identified with bourgeoisie culture. For revolutionary Guy Debord, official culture is a "rigged game", where conservative powers forbid subversive ideas to have direct access to the public discourse, and where such ideas are integrated only after being trivialized and sterilized.
Minimisation is a type of deception involving denial coupled with rationalisation in situations where complete denial is implausible. It is the opposite of exaggeration. Minimisation—downplaying the significance of an event or emotion—is a common strategy in dealing with feelings of guilt. Words associated with minimisation include:
In mathematics, the twisted Poincaré duality is a theorem removing the restriction on Poincaré duality to oriented manifolds. The existence of a global orientation is replaced by carrying along local information, by means of a local coefficient system.
In mathematics, a vector bundle is said to be flat if it is endowed with a linear connection with vanishing curvature, ie. a flat connection.