Categorical Topology

Proceedings of the International Conference, Berlin, August 27th to September 2nd 1978
Herausgegeben:Herrlich, H.; Preuß, G.

• Broschiertes Buch

Produktbeschreibung

Recovering a space from its banach sheaves.- Completeness is productive.- Legitimacy of certain topological completions.- On E-normal spaces.- Two procedures in bitopology.- Saks spaces and vector valued measures.- A question in categorical shape theory: When is a shape-invariant functor a kan extension?.- The finest functor preserving the baire sets.- Lifting closed and monoidal structures along semitopological functors.- On non-simplicity of topological categories.- Kan Lift-extensions in C.G. Haus.- Topological functors from factorization.- Groupoids and classification sequences.- Concentrated nearness spaces.- Initial and final completions.- Algebra ? topology.- Topological spaces admitting a "Dual".- Special classes of compact spaces.- Pairs of topologies with same family of continuous self-maps.- Hereditarily locally compact separable spaces.- Injectives in topoi, I: Representing coalgebras as algebras.- Injectives in Topoi, II: Connections with the axiom of choice.- Categories of statistic-metric spaces.- A categorical approach to primary and secondary operations in topology.- Limit-metrizability of limit spaces and uniform limit spaces.- Banach spaces over a compact space.- A note on (E,M)-functors.- Convenient topological algebra and reflexive objects.- Existence and applications of monoidally closed structures in topological categories.- Connection properties in topological categories and related topics.- On projective and injective objects in some topological categories.- An embedding characterization of compact spaces.- Connection and disconnection.- Connections between convergence and nearness.- Functors on categories of ordered topological spaces.- On the coproduct of the topological groups ? and ?2.- Lifting semifinal liftings.- Normally supercompact spaces and convexity preserving maps.- Structure Functors.- Function spaces in topological categories.

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Produktdetails

• Lecture Notes in Mathematics 719
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-09503-3
• 1979
• Seitenzahl: 436
• Erscheinungstermin: 1. Juni 1979
• Englisch
• Abmessung: 235mm x 155mm x 24mm
• Gewicht: 680g
• ISBN-13: 9783540095033
• ISBN-10: 3540095039
• Artikelnr.: 23563448

Inhaltsangabe

Recovering a space from its banach sheaves.- Completeness is productive.- Legitimacy of certain topological completions.- On E-normal spaces.- Two procedures in bitopology.- Saks spaces and vector valued measures.- A question in categorical shape theory: When is a shape-invariant functor a kan extension?.- The finest functor preserving the baire sets.- Lifting closed and monoidal structures along semitopological functors.- On non-simplicity of topological categories.- Kan Lift-extensions in C.G. Haus.- Topological functors from factorization.- Groupoids and classification sequences.- Concentrated nearness spaces.- Initial and final completions.- Algebra ? topology.- Topological spaces admitting a "Dual".- Special classes of compact spaces.- Pairs of topologies with same family of continuous self-maps.- Hereditarily locally compact separable spaces.- Injectives in topoi, I: Representing coalgebras as algebras.- Injectives in Topoi, II: Connections with the axiom of choice.- Categories of statistic-metric spaces.- A categorical approach to primary and secondary operations in topology.- Limit-metrizability of limit spaces and uniform limit spaces.- Banach spaces over a compact space.- A note on (E,M)-functors.- Convenient topological algebra and reflexive objects.- Existence and applications of monoidally closed structures in topological categories.- Connection properties in topological categories and related topics.- On projective and injective objects in some topological categories.- An embedding characterization of compact spaces.- Connection and disconnection.- Connections between convergence and nearness.- Functors on categories of ordered topological spaces.- On the coproduct of the topological groups ? and ?2.- Lifting semifinal liftings.- Normallysupercompact spaces and convexity preserving maps.- Structure Functors.- Function spaces in topological categories.