-
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...
-
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;...
-
topological spaces. A
space X {\displaystyle X} is said to be arc-connected or
arcwise connected if any two
topologically distinguishable points can be joined...
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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,...
-
hereditarily unicoherent (meaning that
every subcontinuum is unicoherent) and
arcwise connected, then it is
called a dendroid. If in
addition it is
locally connected...
- Mathematics.
Interscience Publishers. p. 281. Yamabe, Hidehiko, On an
arcwise connected subgroup of a Lie group,
Osaka Mathematical Journal v.2, no....
-
connected and
locally connected and any
connected open
subset of a TVS is
arcwise connected. If S ⊆ X {\displaystyle S\subseteq X} and U {\displaystyle U}...
-
hereditarily unicoherent (meaning that
every subcontinuum of X is unicoherent),
arcwise connected, and
forms a continuum. The term
dendroid was
introduced by Bronisław...
-
unpublished work of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...
- A
world manifold is ****umed to be
connected and, consequently, it is
arcwise connected. The
tangent bundle TX{\displaystyle TX} of a
world manifold...
