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The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one topological space to another are called homotopic (from Ancient Greek: ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a ...
A CW complex is a space that has a filtration whose union is and such that . is a discrete space, called the set of 0-cells (vertices) in .; Each is obtained by attaching several n-disks, n-cells, to via maps ; i.e., the boundary of an n-disk is identified with the image of in .
Heterotrophs can be organotrophs or lithotrophs.Organotrophs exploit reduced carbon compounds as electron sources, like carbohydrates, fats, and proteins from plants and animals.
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In mathematics, in particular in homotopy theory within algebraic topology, the homotopy lifting property (also known as an instance of the right lifting property or the covering homotopy axiom) is a technical condition on a continuous function from a topological space E to another one, B.
The term autotroph was coined by the German botanist Albert Bernhard Frank in 1892. [6] [7] It stems from the ancient Greek word τροφή (trophḗ), meaning "nourishment" or "food".
In contrast to biotrophs, hemibiotrophs have dual life-styles. The initial biotrophic life-style of hemibiotrophs causes minimum damage to the plant tissues, while the fungus obtains nutrients from living plant tissues [8] Hemibiotrophic fungi require living plant tissue to survive to complete their life cycle.
Homotopy to Marie is the fifth album by Nurse with Wound, released in 1982.. Although Nurse with Wound had generated considerable interest across their preceding releases, Steven Stapleton has asserted to author David Keenan that Homotopy to Marie should be considered the first "real" NWW album.