Missouri Journal of Mathematical Sciences

Local Separation Axioms Between Kolmogorov and Fr\'{e}chet Spaces

Raghu Gompa and Vijaya L. Gompa

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Abstract

Several separation axioms on topological spaces are described between Kolmogorov and Fréchet spaces as properties of the space at a particular point. After describing various equivalent descriptions, implications are established. Various examples are studied in order to show that the implications are strict.

Article information

Source
Missouri J. Math. Sci., Volume 29, Issue 1 (2017), 33-42.

Dates
First available in Project Euclid: 2 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.mjms/1488423700

Digital Object Identifier
doi:10.35834/mjms/1488423700

Mathematical Reviews number (MathSciNet)
MR3619774

Zentralblatt MATH identifier
1381.54021

Subjects
Primary: 08A25
Secondary: 08A60: Unary algebras 08A30: Subalgebras, congruence relations 08C05: Categories of algebras [See also 18C05] 17A30: Algebras satisfying other identities 18A40: Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) 18B99: None of the above, but in this section 18D15: Closed categories (closed monoidal and Cartesian closed categories, etc.) 54A05: Topological spaces and generalizations (closure spaces, etc.)

Keywords
Separation axioms topological spaces Kolmogorov space Fréchet spaces

Citation

Gompa, Raghu; Gompa, Vijaya L. Local Separation Axioms Between Kolmogorov and Fr\'{e}chet Spaces. Missouri J. Math. Sci. 29 (2017), no. 1, 33--42. doi:10.35834/mjms/1488423700. https://projecteuclid.org/euclid.mjms/1488423700


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