Date of Publication
4-1994
Document Type
Master's Thesis
Degree Name
Master of Science in Mathematics
Subject Categories
Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Thesis Adviser
Aurora Trance
Defense Panel Chair
Severino Diesto
Defense Panel Member
Arlene Pascasio
Blessilda Raposa
Abstract/Summary
The span of a metric space is a measure of connectedness of the metric space. Defined by Duda and Lilek, this concept was studied intensively by McLean, Kawamura, Oversteegen and others. This paper presents some results by the above-named authors. The main result presented is the theorem which states that if a compactum has span zero, then its image under an open continuous map has span zero also. Among the concepts studied in this paper are the confluent maps between metric spaces and tree-like curves. Related to these are the approximately right invertible mappings and En-translations. All these concepts and their relations to spans of metric spaces are discussed in this paper.
Abstract Format
html
Language
English
Format
Accession Number
TG02362
Shelf Location
Archives, The Learning Commons, 12F Henry Sy Sr. Hall
Physical Description
97 leaves
Keywords
Zero (The number); Mappings (Mathematics); Functions; Metric spaces; Topology
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Recommended Citation
Regacho, C. F. (1994). An open maps and span zero. Retrieved from https://animorepository.dlsu.edu.ph/etd_masteral/1642
