Tamarkin's separation theorem for non-compact objects in cotangent bundles

TL;DR

This paper extends Tamarkin's separation theorem to include possibly non-compact subsets in cotangent bundles, broadening its applicability in symplectic and microlocal analysis.

Contribution

It introduces a Tamarkin-type separation theorem applicable to non-compact objects in cotangent bundles, expanding previous results limited to compact sets.

Findings

Established a separation theorem for non-compact subsets in cotangent bundles.

Demonstrated the theorem's applicability to broader classes of objects.

Provided a new tool for microlocal analysis in non-compact settings.

Abstract

In this short note, we prove a Tamarkin-type separation theorem for possibly non-compact subsets in cotangent bundles.