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The pullback bundle is an example that bridges the notion of a pullback as precomposition, and the notion of a pullback as a Cartesian square. In that example, the base space of a fiber bundle is pulled back, in the sense of precomposition, above. The fibers then travel along with the points in the base space at which they are anchored: the ...
The Kângë Kreshnikësh (" Songs of Heroes ") are the traditional songs of the heroic legendary cycle of Albanian epic poetry (Albanian: Cikli i Kreshnikëve or Eposi i Kreshnikëve). They are the product of Albanian culture and folklore orally transmitted down the generations by the Albanian lahutarë ('rhapsodes' or 'bards') who perform them ...
Pullback (differential geometry) Let be a smooth map between smooth manifolds and . Then there is an associated linear map from the space of 1-forms on (the linear space of sections of the cotangent bundle) to the space of 1-forms on . This linear map is known as the pullback (by ), and is frequently denoted by .
Another example of a pullback comes from the theory of fiber bundles: given a bundle map π : E → B and a continuous map f : X → B, the pullback (formed in the category of topological spaces with continuous maps) X × B E is a fiber bundle over X called the pullback bundle. The associated commutative diagram is a morphism of fiber bundles.
The Committee for the National Defence of Kosovo (Albanian: Komiteti "Mbrojtja Kombëtare e Kosovës" abbrev. KMKK) was an Albanian organization founded in Shkodër on 1 May 1918. [1] It mainly consisted of the political exiles from Kosovo and was led by Hoxha Kadri from Pristina. [2] It had existed in looser form since May 1915.
The Albanian National Awakening (Albanian: Rilindja or Rilindja Kombëtare), commonly known as the Albanian Renaissance or Albanian Revival, is a period throughout the 19th and 20th century of a cultural, political, and social movement in the Albanian history where the Albanian people gathered strength to establish an independent cultural and political life, as well as the country of Albania.
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Definition. The pullback attractor (or random global attractor) for a random dynamical system is a - almost surely unique random set such that. almost surely. There is a slight abuse of notation in the above: the first use of "dist" refers to the Hausdorff semi-distance from a point to a set, whereas the second use of "dist" refers to the ...