Some modern telescope constructions

Some Algebraic Definitions and Constructions

Definition 1. A monoid is a set M with an element e and an associative multiplication M×M −→ M for which e is a two-sided identity element: em = m = me for all m ∈ M . A group is a monoid in which each element m has an inverse element m, so that mm = e = mm. A homomorphism f : M −→ N of monoids is a function f such that f(mn) = f(m)f(n) and f(eM ) = eN . A “homomorphism” of any kind of algebrai...

Constructions of antimagic labelings for some families of regular graphs

In this paper we construct antimagic labelings of the regular complete multipartite graphs and we also extend the construction to some families of regular graphs.

Modern Medicine and Some Modern Remedies

Some variations on the telescope conjectureDOUGLAS

This paper presents some speculations about alternatives to the recently disproved telescope conjecture in stable homotopy theory. It includes a brief introduction to the parametrized Adams spectral sequence, the main technical tool used to disprove it. An example supporting the new conjectures is described.

Some variations on the telescope conjecture

This paper presents some speculations about alternatives to the recently disproved telescope conjecture in stable homotopy theory. It includes a brief introduction to the parametrized Adams spectral sequence, the main technical tool used to disprove it. An example supporting the new conjectures is described.