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Manifolds with small topological complexity

Petar Pavešić

Abstract

We study closed orientable manifolds whose topological complexity is at most 3 and determine their cohomology rings. For some of admissible cohomology rings we are also able to identify corresponding manifolds up to homeomorphism.

Manifolds with small topological complexity

Abstract

We study closed orientable manifolds whose topological complexity is at most 3 and determine their cohomology rings. For some of admissible cohomology rings we are also able to identify corresponding manifolds up to homeomorphism.

Paper Structure

This paper contains 3 sections, 4 theorems, 16 equations.

Table of Contents

  1. Introduction
  2. Admissible cohomology rings
  3. Some manifolds with small TC

Key Result

Proposition 1.1

Theorems & Definitions (6)

  • Proposition 1.1
  • Proposition 2.1
  • proof
  • Theorem 2.2
  • Proposition 3.1
  • proof