Definition of Arcwise. Meaning of Arcwise. Synonyms of Arcwise

Here you will find one or more explanations in English for the word Arcwise. Also in the bottom left of the page several parts of wikipedia pages related to the word Arcwise and, of course, Arcwise synonyms and on the right images related to the word Arcwise.

Definition of Arcwise

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Meaning of Arcwise from wikipedia

- for finite topological spaces. A space X is said to be arc-connected or arcwise connected if any two distinct points can be joined by an arc, that is a...
- There is also the weaker notion of path isometry or arcwise isometry: A path isometry or arcwise isometry is a map which preserves the lengths of curves;...
- simplest and most familiar type of a continuum. It is one-dimensional, arcwise connected, and locally connected. The topologist's sine curve is a subset...
- arcwise. As in rhombic chess, there is no castling. The sorcerer moves in the pattern: one step pointwise, followed by one step edgewise or arcwise,...
- and L. Zippin, Topological Transformation Groups Yamabe, Hidehiko, On an arcwise connected subgroup of a Lie group, Osaka Mathematical Journal v.2, no....
- connected and locally connected. Any connected open subset of a TVS is arcwise connected. Let 𝜏 and 𝜐 be two vector topologies on X. Then 𝜏 ⊆ 𝜐 if...
- hereditarily unicoherent (meaning that every subcontinuum is unicoherent) and arcwise connected, then it is called a dendroid. If in addition it is locally connected...
- unpublished work of Eliyahu Rips in about 1991. An R-tree is a uniquely arcwise-connected metric space in which every arc is isometric to some real interval...
- hereditarily unicoherent (meaning that every subcontinuum of X is unicoherent), arcwise connected, and forms a continuum. The term dendroid was introduced by Bronisław...
- A world manifold is ****umed to be connected and, consequently, it is arcwise connected. The tangent bundle T X {\displaystyle TX} of a world manifold...
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