Notes on Actions of Sets and Groups and Generalized Affine Spaces

2016/07/13 by Dan Jönsson, Jonsson, Dan · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra #Advanced Topology and Set Theory

paper · pdf · doi:10.48550/arxiv.1607.03890

Abstract

Some well-known and less well-known or new notions related to group actions are surveyed. Some of these notions are used to generalize affine spaces. Actions are seen as functions with values in transformation monoids

Cited by

• Differential Geometry on Pointwise Affine Spaces

Related

• Proper actions of discrete groups of affine transformations
• On the quotient space of a generalized action of a generalized group
• Action-type axiomatizable classes of group representations
• Espaces vectoriels échelonnés
• Partial actions of groups on monoidal categories