A Remark on the Gromov Convergence Theorem

A Remark on a Remark by Macaulay or Enhancing Lazard Structural Theorem

ON CONVERGENCE THEOREMS FOR FUZZY HENSTOCK INTEGRALS

The main purpose of this paper is to establish different types of convergence theorems for fuzzy Henstock integrable functions, introduced by  Wu and Gong cite{wu:hiff}. In fact, we have proved fuzzy uniform convergence theorem, convergence theorem for fuzzy uniform Henstock integrable functions and fuzzy monotone convergence theorem. Finally, a necessary and sufficient condition under which th...

Gromov-Hausdorff convergence of non-Archimedean fuzzy metric spaces

We introduce the notion of the Gromov-Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented. We show that the topological properties induced by the classic Gromov-Hausdorff distance on metric spaces can be deduced from our approach.

Convergence of Quantum Cohomology by Quantum Lefschetz

Quantum Lefschetz theorem by Coates and Givental [4] gives a relationship between the genus 0 Gromov-Witten theory of X and the twisted theory by a line bundle L on X. We prove the convergence of the twisted theory under the assumption that the genus 0 theory for original X converges. As a byproduct, we prove the semisimplicity and the Virasoro conjecture for the Gromov-Witten theories of (not ...

2 3 N ov 2 00 4 ON GROMOV - HAUSDORFF CONVERGENCE FOR OPERATOR METRIC SPACES

We introduce an analogue for Lip-normed operator systems of the second author’s order-unit quantum Gromov-Hausdorff distance and prove that it is Lipschitz equivalent to the first author’s complete distance. This enables us to consolidate the basic theory of what might be called operator Gromov-Hausdorff convergence. In particular we establish a completeness theorem and deduce continuity in qua...