Eurasian Journal of Mathematical Theory and Computer Sciences 6-jild 4-son (2026) · 10–14-betlar

ZORGEFREY STRAIGHT LINE HOMEOMORPHISM AND ITS SQ MODIFICATION

Kukiyeva, Sayora

DOI: 10.5281/zenodo.19453791 · Manbada o'qish → · PDF (manba serverida)

Annotatsiya

The article examines the topological properties of the Zorgefrey line - a set of real numbers  assigned to the topology of the lower half-intervals of the form , and also considers its modifications. The conditions for the homeomorphism of the Zorgephreesian line with the Euclidean line and other topological spaces are analyzed. It is shown that, despite the coincidence of the carrier, the Zorgefrye line is not a homeomorphic standard real line due to the differences in the bases of topologies and their invariant properties.

Sorgenfrey line, homeomorphism, Baire space, first category setZorgenfreyning strelkasi, gomeomorfizm, berov fazosi, birinchi toifadagi to‘plam.

Metadata manbasi: jurnal OAI-PMH arxivi · Sindex to'liq matnni saqlamaydi, manbaga havola beradi.