lnu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Fedorchuk's compacts in topology: Cardinal characteristics of Fedorchuk's compacts
Linnaeus University, Faculty of Technology, Department of Mathematics.
2017 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Master’s thesis is devoted to the study of cardinal invariants in the F-compact spaces class. Here and throughout the paper, the concept ”compact” would mean a compact Hausdorff space. In my thesis I have tried to present and explain all necessary concepts and statements necessary for the reader to get acquainted with F-compact spaces class. In order to understand the idea of F-compact spaces, it is necessary to understand what the inverse spectrum is from itself, it is necessary to know about the cardinality of sets and to understand that two infinite sets can have different cardinalities, know about closed and open sets, and much else that you will find in this paper. In the thesis the analysis of the scientific literature sources is presented; the theorems about the relationship between the characteristics of cardinality invariants in the F-compact spaces class are investigated; the relationships between the properties of perfect normality and hereditary normality in the F - compact spaces class of countable spectral height are studied. In the process of the investigation some propositions were found, proved and filled in the missing fragments of evidence. Conclusion: At present, the method of fully closed mappings (which is used in constructing of F - compact spaces ) is the most productive method of constructing counterexamples in general topology. I believe, that this paper will be interesting to all who wants to go beyond the ordinary, habitual way of thinking, because only by studying topology we can speak clearly and precisely about things related to the idea of continuity and infinity!

Place, publisher, year, edition, pages
2017. , p. 45
Keywords [en]
topology, inverse spectrum, compactness
National Category
Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-62551OAI: oai:DiVA.org:lnu-62551DiVA, id: diva2:1090083
Educational program
Mathematics and Modelling, Master Programme, 60 credits
Supervisors
Examiners
Available from: 2017-04-24 Created: 2017-04-21 Last updated: 2017-04-24Bibliographically approved

Open Access in DiVA

fulltext(829 kB)45 downloads
File information
File name FULLTEXT01.pdfFile size 829 kBChecksum SHA-512
155beda9a0564a7433cc659e3bf6ac78e761b7ae12e92e4fbfab963d2b66c8c4c83ff455ca9008632d3bff70f3a4e7c4c304298fa283a4fc3f55f285212bee09
Type fulltextMimetype application/pdf

By organisation
Department of Mathematics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 45 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 31 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf