Banca de DEFESA: BISMARK GONCALVES DO NASCIMENTO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : BISMARK GONCALVES DO NASCIMENTO
DATE: 02/03/2020
TIME: 08:45
LOCAL: Sala de Seminários da Matemática
TITLE:

Metrizability of Topologies and Generalized Distances

KEY WORDS:

Keywords: Metrizable Topology, Generalized Metrics, Open Balls.

PAGES: 85
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This paper presents a study on the metrizability of topologies presenting the necessary
conditions for a topology to be metrizable, i.e., it can be constructed starting from a
metric through the open balls. In addition, several interesting examples of topologies are
presented to show that several conditions presented are only necessary. Moreover, the
Nagata-Smirnov Bing theorem is also mentioned, which presents necessary and sufficient
conditions for a topology to be metrizable. In addition, we present a generalization of
the metric concept that also generates a topology and assess whether this topology is
metrizable.

BANKING MEMBERS:
Interna - 1143603 - ELAINE GOUVEA PIMENTEL
Interno - 1549905 - FAGNER LEMOS DE SANTANA
Externo ao Programa - 2103751 - MARIO OTAVIO SALLES
Externo à Instituição - ANNAXSUEL ARAUJO DE LIMA - IFRN