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International Journal for Research Trends and Innovation
International Peer Reviewed & Refereed Journals, Open Access Journal
ISSN Approved Journal No: 2456-3315 | Impact factor: 8.14 | ESTD Year: 2016
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Issue: July 2026
Volume 11 | Issue 7
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Impact Factor : 8.14
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| Paper Title: | A Study of Compactness and Connectedness in Topological Spaces |
| Authors Name: | Deepa Devi |
| Download E-Certificate: | Download |
| Author Reg. ID: |
IJRTI_213569
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| Published Paper Id: | IJRTI2606104 |
| Published In: | Volume 11 Issue 6, June-2026 |
| DOI: | |
| Abstract: | Topology is a fundamental branch of mathematics that studies the properties of spaces preserved under continuous transformations. Among the most important concepts in topology are compactness and connectedness. Compactness generalizes the notion of finiteness, while connectedness describes the idea that a space cannot be separated into disjoint open subsets. This paper investigates the definitions, properties, and relationships between compactness and connectedness in topological spaces. The study highlights major theorems, examples, and applications of these concepts in modern mathematics. Recent research continues to extend these notions to generalized topological structures, demonstrating their significance in both theoretical and applied mathematics. |
| Keywords: | Topological Space, Compactness, Connectedness, Continuous Functions, Hausdorff Space, General Topology. |
| Cite Article: | "A Study of Compactness and Connectedness in Topological Spaces", International Journal for Research Trends and Innovation (www.ijrti.org), ISSN:2456-3315, Vol.11, Issue 6, page no.a976-a979, June-2026, Available :http://www.ijrti.org/papers/IJRTI2606104.pdf |
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2456-3315 | IMPACT FACTOR: 8.14 Calculated By Google Scholar| ESTD YEAR: 2016 An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 8.14 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator |
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Published Paper ID: IJRTI2606104
Registration ID:213569
Published In: Volume 11 Issue 6, June-2026
DOI (Digital Object Identifier):
Page No: a976-a979 Country: Sri Vijaya Puram, Andaman & Nicobar Islands, India Research Area: Mathematics Publisher : IJ Publication Published Paper URL : https://www.ijrti.org/viewpaperforall?paper=IJRTI2606104 Published Paper PDF: https://www.ijrti.org/papers/IJRTI2606104 |
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ISSN: 2456-3315
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