论文标题
MINC连续体和概括的平面嵌入
Planar embeddings of Minc's continuum and generalizations
论文作者
论文摘要
我们表明，如果$ f \ colon i \ to i $是分段单调的，后严格有限，最终在本地上进行，则在x = \ uder fludftarrow {\ lim}（i，f）中的每个点$ x \ in x = \ nufferftarrow中，存在$ x $的$ x $的平均嵌入$ x $，因此可访问$ x $。特别是，来自[问题19 p的Minc Continuum $ x_m $中的每个点$ x $。 335在《连续理论》中：特别会议论文集，以纪念小萨姆·纳德勒（Sam B. v。230，纽约：Marcel Dekker。]可以访问。所有构造的嵌入都是薄的，即可以被连接在平面中的任意小链覆盖。
We show that if $f\colon I\to I$ is piecewise monotone, post-critically finite, and locally eventually onto, then for every point $x\in X=\underleftarrow{\lim}(I,f)$ there exists a planar embedding of $X$ such that $x$ is accessible. In particular, every point $x$ in Minc's continuum $X_M$ from [Question 19 p. 335 in Continuum theory : proceedings of the special session in honor of Professor Sam B. Nadler, Jr.'s 60th birthday, Lecture notes in pure and applied mathematics; v. 230, New York: Marcel Dekker.] can be embedded accessibly. All constructed embeddings are thin, i.e. can be covered by an arbitrary small chain of open sets which are connected in the plane.
