Skoči na glavni sadržaj

Izvorni znanstveni članak

Compactly generated rectifiable spaces or paratopological groups

Fucai Lin ; School of Mathematics and Statistics, Minnan Normal University, China


Puni tekst: engleski pdf 143 Kb

str. 417-427

preuzimanja: 543

citiraj


Sažetak

A rectifiable space (or a paratopological group) G is compactly generated if G= K for some compact subset K of G. In this paper, we mainly discuss compactly generated rectifiable spaces or paratopological groups. The main results are that: (1) each σ-compact metrizable rectifiable space containing a dense compactly generated rectifiable subspace is compactly generated; (2) a metriable rectifiable space is compactly generated if and only if it is σ-compact and finitely generated modulo open sets; (3) any σ-compact paratopological group can be embedded as a closed paratopological subgroup in some compactly generated paratopological group. Finally, we consider generalized metric properties of compactly generated rectifiable spaces.

Ključne riječi

compactly generated; rectifiable spaces; paratopological groups; σ compact; perfect mappings; nitely generated modulo open sets; compacti tions; metrizable spaces; quasi-G_{δ}diagonal

Hrčak ID:

110835

URI

https://hrcak.srce.hr/110835

Datum izdavanja:

19.11.2013.

Posjeta: 1.481 *

accessibility

closePristupačnostrefresh

Ako želite spremiti trajne postavke, kliknite Spremi, ako ne - vaše će se postavke poništiti kad zatvorite preglednik.