Local return rates in Sturmian subshifts
Local return rates in substitutive subshifts
Local semigroups
Local/global uniform approximation of real-valued continuous functions
For a Tychonoff space , is the lattice-ordered group (-group) of real-valued continuous functions on , and is the sub--group of bounded functions. A property that might have is (AP) whenever is a divisible sub--group of , containing the constant function 1, and separating points from closed sets in , then any function in can be approximated uniformly over by functions which are locally in . The vector lattice version of the Stone-Weierstrass Theorem is more-or-less equivalent...
Localic completion of generalized metric spaces I.
Localic Katětov-Tong insertion theorem and localic Tietze extension theorem
In this paper, localic upper, respectively lower continuous chains over a locale are defined. A localic Katětov-Tong insertion theorem is given and proved in terms of a localic upper and lower continuous chain. Finally, the localic Urysohn lemma and the localic Tietze extension theorem are shown as applications of the localic insertion theorem.
Localization for Hausdorff uniform bundles.
Localization In Bundles Of Metric Spaces,
Localization in Bundles of uniform spaces
Localization with change of the base space in uniform bundles and sheaves.
Locally admissible multi-valued maps
In this paper we generalize the class of admissible mappings as due by L. Górniewicz in 1976. Namely we define the notion of locally admissible mappings. Some properties and applications to the fixed point problem are presented.
Locally bounded topologies on the rational field
Locally closed sets and LC-continuous functions.
Locally compact Baer rings.
Locally compact F-spaces, sub-stonean spaces and quotients of locally compact groups.
Locally compact linearly Lindelöf spaces
There is a locally compact Hausdorff space which is linearly Lindelöf and not Lindelöf. This answers a question of Arhangel'skii and Buzyakova.
Locally compact perfectly normal spaces may all be paracompact
We work towards establishing that if it is consistent that there is a supercompact cardinal then it is consistent that every locally compact perfectly normal space is paracompact. At a crucial step we use some still unpublished results announced by Todorcevic. Modulo this and the large cardinal, this answers a question of S. Watson. Modulo these same unpublished results, we also show that if it is consistent that there is a supercompact cardinal, it is consistent that every locally compact space...
Locally compact realcompactifications
Locally compact spaces C-tame at infinity.
Locally Compact Spaces ℓ-Tame At Infinity