For a finite spectrum X, we prove the existence of a nonnilpotent element v inExitA(H*(X),H*(X))paralleled to the vanishing line which is a permanent cycle in the Adamsspectral sequence. We use this result to give a p...
In this paper, sufficient and necessary, condition for maps of the interval having a infinite loop is given. For a unimodal map, the relation between the orbit of the critical and the infinite loop is discussed.
The aim of this paper is to discuss some aspects of the shifts and the subshifts and to introduce systematically the author's methods and results. Contents: §0. Introduction, §1. The symbolic space and the shifts, ...
In this paper, the concept of φ-mapping and some fixed point theorems for such mappings are introduced and presented. These theorems extend corresponding theorems in metric space.