most citedRegularity and nearness theorems for families of local Lie groups

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2012★ 3 cited

Regularity and nearness theorems for families of local Lie groups

Tom McGaffey

In this work, we prove three types of results with the strategy that, together, the author believes these should imply the local version of Hilbert's Fifth problem. In a separate d…

math.GN2012

Topologizing Rings of Map Germs: An Order Theoretic Analysis of Germs via Nonstandard Methods

Tom McGaffey

Using nonstandard analysis we define a topology on the ring of germs of functions: . We prove that this topology is absolutely convex, Hausdo…

math.AP2012

Generalized solutions of nonlinear differential equations A nonstandard jets approach

Tom McGaffey

Using the rudiments of pde jets theory in a nonstandard setting, we first deepen and extend previous nonstandard existence results for generalized solutions of linear differential…