codomain with sequences in the domain. Examples include sequentially quotient maps, sequence coverings, 1-sequence coverings, and 2-sequence coverings. These...

In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies...

with the property that the preimage of every compact is compact Sequence covering map A subset S ⊆ X {\displaystyle S\subseteq X} is called a regular...

Serre spectral sequence (sometimes Leray–Serre spectral sequence to acknowledge earlier work of Jean Leray in the Leray spectral sequence) is an important...

used from the opposite perspective (branches coming together) as when a covering map degenerates at a point of a space, with some collapsing of the fibers...

mathematics, a covering group of a topological group H is a covering space G of H such that G is a topological group and the covering map p : G → H is a...

space – Property of topological space Sequence covering maps Sequential space – Topological space characterized by sequences Willard, 17G, p. 125. Steen and...

graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to the vertex set of G. A covering map f is a surjection...

Every surjective proper map is a compact covering map. A map f : X → Y {\displaystyle f:X\to Y} is called a compact covering if for every compact subset...

neighbourhood basis Fréchet–Urysohn space – Property of topological space Sequence covering map You cannot simultaneously apply this "test" to infinitely many subsets...

particularly algebraic topology and homology theory, the Mayer–Vietoris sequence is an algebraic tool to help compute algebraic invariants of topological...

of a sequence – Value to which tends an infinite sequence Sequence covering map Sequential space – Topological space characterized by sequences Of course...

path in a covering space. For example, consider mapping opposite points on a sphere to the same point, a continuous map from the sphere covering the projective...

{\displaystyle S} -points, this implies the map is a surjection. Conversely, taking the trivial sequence Z 0 = X {\displaystyle Z_{0}=X} gives the result...

may even be dense in an interval (a, b). For example, for any summable sequence ( a i ) (a_{i}) of positive numbers and any enumeration ( q i ) {\displaystyle...

exist any convergent lift of this sequence by the quotient map q {\displaystyle q} (that is, there is no sequence s ∙ = ( s i ) i ∈ I {\displaystyle...

inf-embeddable order defined above. (That is to say, given any infinite sequence T1, T2, … of rooted trees labeled in X, there is some i < j {\displaystyle...

called the homotopy lifting property.) A covering map is a basic example of a fibration. fibration sequence One says F → X → p B {\displaystyle F\to X{\overset...

direction following opposite edges. This regular map also has a representation as a double covering of a cube, represented by Schläfli symbol {8/2,3}...

DNA sequencing is the process of determining the nucleic acid sequence – the order of nucleotides in DNA. It includes any method or technology that is...

in analogy with a short exact sequence, indicates which space is the fiber, total space and base space, as well as the map from total to base space. A smooth...

subdivision induces maps on homology groups and is helpful for computational concerns, see Excision and the Mayer–Vietoris sequence. Let S ⊂ R n {\displaystyle...

H to G by s and then back to H by the quotient map of the short exact sequence induces the identity map on H i.e., π ∘ s = i d H {\displaystyle \pi \circ...

bioinformatics, sequence assembly refers to aligning and merging fragments from a longer DNA sequence in order to reconstruct the original sequence. This is...

general, Japanese maps have followed the same trends as maps published by the US Army, a pattern which appears to be universal: a sequence of black and white...

2^{10}n^{2}+2^{18}} . An important special case of bin covering is that the item sizes form a divisible sequence (also called factored). A special case of divisible...

associated with a single symbol, and the sequences of symbols result as a trajectory of the system moves from one covering set to another. The idea goes back...

topological space B, a continuous map f : E → B {\displaystyle f:E\to B} is called a covering or E is called a covering space of B if every point b in B...

following: A draft sequence, covering approximately 90% of the genome at approximately 99.9% accuracy A finished sequence, covering more than 95% of the...

Rocque's map is shown from above, then becomes three dimensional, and finally merges into the next film sequence. A high resolution copy of the map can be...