The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings and sem…
A complex system is a group or organization in which many components interact to perform functions that a single component cannot. The study of the evolution of complex systems can reveal the pattern of interactions, the dependencies between entities, the impacts on the system’s…
Conceptual change often accompanies the development of scientific knowledge over time. Scientists also frequently disagree about what exactly their core concepts mean and how they should be applied. Why is this the case, and what makes these dynamic concepts work as well as they…
From different traditions, research in the field of sociology of cultural taste and consumption has argued that contemporary societies are symbolically stratified through cultural engagement. These theoretical frameworks differ mainly in their explanations of the mechanisms that…
Humans and flies look nothing alike, yet their genetic circuits are remarkably similar. Here, Lewis I. Held, Jr compares the genetics and development of the two to review the evidence for deep homology, the biggest discovery from the emerging field of evolutionary developmental …
The category of H-modules over a ring spectrum is introduced. We prove that mapping cones can be constructed in the category and that these mapping cones are unique up to equivalence. Other H-modules are constructed by induction and a limit process. We prove that each of the cla…
The purpose of this paper is to present a totally new approach to homology operations on [italic capitals]QS⁰ including their foundations and some applications. One strategy is to deduce relations among the various operations as consequences of similar relations among various op…
