Semi-homotopy and semi-fundamental groups
Ayhan Erciyes, Ali Aytekin, Tun\c{c}ar \c{S}ahan
TL;DR
This paper introduces semi-homotopy and semi-fundamental groups based on semi-continuous maps and semi-paths, exploring their properties and establishing a new algebraic structure in topology.
Contribution
It presents the first construction of semi-fundamental groups using semi-loops and investigates their properties, expanding the framework of algebraic topology.
Findings
Defined semi-homotopy and semi-paths.
Constructed semi-fundamental group from semi-loops.
Explored properties of semi-homotopy and semi-fundamental groups.
Abstract
In this study we introduce the notions of semi-homotopy of semi-continuous maps and of semi-paths. We also construct a group structure, which will be called semi-fundamental group, using semi-loops and explore some properties of semi-homotopy and semi-fundamental groups.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Fuzzy and Soft Set Theory · Geometric and Algebraic Topology