NOTION FOR CONNECTEDNESS AND PATH CONNECTEDNESS IN SOME TYPE OF TOPOLOGICAL SPACES

  • Maja Srebrenova Miteva
  • Limonka Koceva Lazarova "Goce Delcev" UniversityFaculty of Computer Science

Abstract

The notions of connectivity and path connectivity of topological spaces in the part of general topology are firmly related. In particular, path connectivity is a tougher condition of connectedness and reversal does not always apply. When it comes to metric space, the notion of connectedness is more difficult to formulate precisely, while the path connectedness is a concept whose definition remains the same and easier to understand in these spaces. In this text, there are examples of connectedness, path-connectedness and simultaneously connected and path-connected topological spaces. Also, an additional condition is required for which the relation of the connected space is valid to be followed by a path connected.

Published
Aug 7, 2018
How to Cite
MITEVA, Maja Srebrenova; LAZAROVA, Limonka Koceva. NOTION FOR CONNECTEDNESS AND PATH CONNECTEDNESS IN SOME TYPE OF TOPOLOGICAL SPACES. Balkan Journal of Applied Mathematics and Informatics, [S.l.], v. 1, n. 1, p. 55-62, aug. 2018. Available at: <http://js.ugd.edu.mk/index.php/bjami/article/view/2237>. Date accessed: 22 oct. 2018.
Section
Articles