Hewitt-Nachbin SpacesElsevier, 22 de out. de 2013 - 278 páginas North-Holland Mathematics Studies: Hewitt-Nachbin Spaces exposes the theory of Hewitt-Nachbin spaces, also called realcompact or Q-spaces, taking into account synergistic points of view from which these spaces are investigated. The publication first offers information on embedding in topological products and Hewitt-Nachbin spaces and convergence, including notation and terminology, embedding lemma, E-completely regular spaces, E-compact spaces, and characterizations and properties of Hewitt-Nachbin spaces. The text also touches on Hewitt-Nachbin spaces, uniformities, and related topological spaces, as well as Hewitt-Nachbin completeness and uniform spaces, review of uniform spaces, and almost realcompact and cb-spaces. The book takes a look at Hewitt-Nachbin completeness and continuous mappings. Discussions focus on classes of mappings, perfect mappings, WZ mappings, closed mappings and Hewitt-Nachbin spaces, and E-perfect mappings. The manuscript is a reliable reference for readers interested in Hewitt-Nachbin spaces. |
Conteúdo
| 1 | |
CHAPTER 2 HEWITTNACHBIN SPACES AND CONVERGENCE | 41 |
CHAPTER 3 HEWITTNACHBIN SPACES UNIFORMITIES AND
RELATED TOPOLOGICAL SPACES | 136 |
CHAPTER 4 HEWITTNACHBIN COMPLETENESS AND CONTINUOUS
MAPPINGS | 171 |
BIBLIOGRAPHY | 237 |
| 261 | |
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Termos e frases comuns
belongs C-embedded Cauchy closed mapping closed sets closed subset cluster point collection compact Hausdorff space compact space compactification completely regular completely separated concludes the proof containing continuous functions continuous mapping converges COROLLARY countable intersection property countably compact countably paracompact defined definition delta normal base denote dense disjoint E-compact E-completely embedded established example fiber-countably compact following result Frolík function f Gillman and Jerison Hence Hewitt Hewitt-Nachbin complete Hewitt-Nachbin space homeomorphic implies inverse invariant isomorphic k-space Lemma Let f Lindelöf Lindelöf space mapping f Math maximal ideal metric space Moreover morphism Mrówka Nachbin complete Nachbin space neighborhood non-empty nonmeasurable cardinal open coverings open set paper paracompact space perfect mapping point ye pseudocompact pseudometric regular spaces satisfying strong delta normal suppose surjection tion topological space Tychonoff space ultra filter ultrafilter uniform space uniform structure UX x UY WZ-mapping z-closed Z-filter Z-ultrafilter