Last Updated:2025/12/20
Sentence
First,
let
us
define
its
1-dimensional
analog,
that
is,
a
topological
graph.
A
graph
𝛥
is
a
1-dimensional
stratified
topological
space
with
finitely
many
0-strata
(vertices)
and
finitely
many
1-strata
(edges).
[…]
A
graph
such
that
any
vertex
belongs
to
at
least
two
half-edges
we
call
an
s-graph.
Clearly
the
boundary
∂𝛺
of
a
surface
𝛺
with
marked
points
is
an
s-graph.
Quizzes for review
First, let us define its 1-dimensional analog, that is, a topological graph. A graph 𝛥 is a 1-dimensional stratified topological space with finitely many 0-strata (vertices) and finitely many 1-strata (edges). […] A graph such that any vertex belongs to at least two half-edges we call an s-graph. Clearly the boundary ∂𝛺 of a surface 𝛺 with marked points is an s-graph. A morphism of graphs 𝜑:𝛥'→𝛥 is a continuous epimorphic map of graphs compatible with the stratification; i.e., the restriction of 𝜑 to any open 1-stratum (interior of an edge) of 𝛥' is a local (therefore, global) homeomorphism with appropriate open 1-stratum of 𝛥.
音声機能が動作しない場合はこちらをご確認ください
Word Edit Setting
- Users who have edit permission for words - All Users
- Screen new word creation
- Screen word edits
- Screen word deletion
- Screen the creation of new headword that may be duplicates
- Screen changing entry name
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Sentence Edit Setting
- Users who have edit permission for sentences - All Users
- Screen sentence deletion
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
Quiz Edit Setting
- Users who have edit permission for quizzes - All Users
- Users authorized to vote on judging - Editor
- Number of votes required for decision - 1
