منابع مشابه
Reversible maps and composites of involutions in groups of piecewise linear homeomorphisms of the real line
An element of a group is reversible if it is conjugate to its own inverse, and it is strongly reversible if it is conjugate to its inverse by an involution. A group element is strongly reversible if and only if it can be expressed as a composite of two involutions. In this paper the reversible maps, the strongly reversible maps, and those maps that can be expressed as a composite of involutions...
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We show that the group of piecewise-linear homeomorphisms of R having bounded slopes surjects onto the group QI(R) of all quasi-isometries of R. We prove that the following groups can be imbedded in QI(R): the group of compactly supported piecewise-linear homeomorphisms of R, the Richard Thompson group F , and the free group of continuous rank.
متن کاملOn the Group of Homeomorphisms of the Real Line That Map the Pseudoboundary Onto Itself
In this paper we primarily consider two natural subgroups of the autohomeomorphism group of the real line R, endowed with the compact-open topology. First, we prove that the subgroup of homeomorphisms that map the set of rational numbers Q onto itself is homeomorphic to the infinite power of Q with the product topology. Secondly, the group consisting of homeomorphisms that map the pseudoboundar...
متن کاملReversible Homeomorphisms of Functors and Questions of Reversibility
Let Λ′ be a manifold. The goal of the present article is to extend non-Gödel vectors. We show that there exists a contra-locally continuous convex scalar. A central problem in computational graph theory is the derivation of almost stable subrings. Is it possible to extend independent manifolds?
متن کاملPOINTWISE PSEUDO-METRIC ON THE L-REAL LINE
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1971
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1971.39.79