Free Boolean topological groups

O Sipacheva - Axioms, 2015 - mdpi.com
Known and new results on free Boolean topological groups are collected. An account of the
properties that these groups share with free or free Abelian topological groups and …

A perfect non-topologizable group

AV Trofimov - Moscow University Mathematics Bulletin, 2007 - Springer
A perfect non-topologizable group Page 1 ÁËËÆ ¼¼¾ ¹½¿¾¾ ÅÓ× ÓÛ ÍÒ Ú Ö× ØÝ Å Ø Ñ
Ø × ÙÐÐ Ø Ò ¾¼¼ ÎÓк ¾ ÆÓº ½ ÔÔº ½½ º cС ÐÐ ÖØÓÒ ÈÖ ×× ÁÒ º ¾¼¼ º ÇÖ Ò Ð ÊÙ×× …

On Free Topological Groups with the Inductive Limit Topologies a

OV Sipacheva - Annals of the New York Academy of Sciences, 1996 - Wiley Online Library
Countable spaces with an only nonisolated point for which the free topological groups are
the inductive limits of the sets of words having restricted length are characterized. It is proved …

Metrizability in a space of subgroups of a Lie group

SP Panasyuk - Ukrainian Mathematical Journal, 1990 - Springer
Metrizability in a space of subgroups of a Lie group Page 1 METRIZABILITY IN A SPACE OF
SUBGROUPS OF A LIE GROUP SP Panasyuk UDC 512.546 It is proved that a space of closed …

Minimally metrizable groups

EG Zelenyuk, AG Piskunov - Ukrainian Mathematical Journal, 1991 - Springer
A noncompact locally compact abelian group is said to be minimally nonmetrizable if all its
quotient groups by noncompact closed subgroups are metrizable, but the group itself is not …

Two theorems on imbeddings of 0-dimensional groups

IV Protasov - Ukrainian Mathematical Journal, 1994 - Springer
Two theorems on imbeddings of 0-dimensional groups Page 1 Ukrainian Mathematical
Journal, Vol. 46, No. 11, 1994 TWO THEOREMS ON IMBEDDINGS OF 0-DIMENSIONAL …

A two-coloring of Cartesian products

EG Zelenyuk, VI Malykhin - Ukrainian Mathematical Journal, 1990 - Springer
A two-coloring of Cartesian products Page 1 A TWO-COLORING OF CARTESIAN PRODUCTS
EG Zelenyuk and VI Malykhin UDC 512.546 We shall color the Cartesian product ~ • w I with …