Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-23T13:36:02Z No. of bitstreams: 1 arquivototal.pdf: 916984 bytes, checksum: ac75ae3fdc7e65715ac0b31502014846 (MD5) / Made available in DSpace on 2017-08-23T13:36:02Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 916984 bytes, checksum: ac75ae3fdc7e65715ac0b31502014846 (MD5) Previous issue date: 2014-03-18 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this paper we will introduce a special class of Topological Spaces, namely the paracompact topological spaces. At rst, we look at some classical characteriztion theorems of paracompact spaces. We also characterize the locally compact Hausdor spaces which are paracompact. Finally, we prove the celebrated Convex-Valued Selection Theorem, which ensures that a topological space X which is T1 is paracompact if and only if for every Banach space Y , every lower semi-continuous function / Neste trabalho faremos uma introdu c~ao a uma classe especial de espa cos topol ogicos, a saber, os espa cos topol ogicos paracompactos. A princ pio, veremos alguns teoremas cl assicos de caracteriza c~ao de espa cos paracompactos. Caracterizaremos tamb em os espa cos topol ogicos localmente compactos e Hausdor que s~ao paracompactos. Por m, mostraremos o celebrado Teorema de Sele c~ao Convexo-Valuada, que garante que um espa co topol ogico X que e T1 e paracompacto se, e somente se, para todo espa co de Banach Y , toda fun c~ao semicont nua inferiormente

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