Classifying Homotopy Types of One-Dimensional Peano Continua
type: CreativeWork
description: Determining the homotopy type of one-dimensional Peano continua has been an open question of some interest. We give a complete invariant of the homotopy type of such continua, which consists of a pair of subspaces together with a relative homology group. Along the way, we describe reduced forms for one-dimensional Peano continua.
abstract: Determining the homotopy type of one-dimensional Peano continua has been an open question of some interest. We give a complete invariant of the homotopy type of such continua, which consists of a pair of subspaces together with a relative homology group. Along the way, we describe reduced forms for one-dimensional Peano continua.
author: Meilstrup, Mark H.
language: English
keywords: Peano continua, one-dimensional, homotopy, reduced forms, Mathematics
date modified: 2026-07-24T01:28:03Z
provider: Brigham Young University
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: Brigham Young University - Provo