Sander, Wolfgang Verallgemeinerungen eines Satzes von S. Piccard. (German) Zbl 0312.54018 Manuscr. Math. 16, 11-25 (1975). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 13 Documents MSC: 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54B10 Product spaces in general topology 54C50 Topology of special sets defined by functions × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] DUBIKAJTIS,L., FERENS,C., GER,R., KUCZMA,M.: On Mikusinski’s functional equation, Ann. Polon. Math.28. 39-47 (1973). · Zbl 0251.39008 [2] HILLE,E., PHILLIPS,R.S.: Functional analysis and semi-groups. Amer. Math. Soc. Coll. Publ. Vol. 31. Providence: Amer. Math. Soc. 1957. · Zbl 0078.10004 [3] HUSAIN,T.: Introduction to topological groups. Philadelphia-London: W.B.Saunders 1966. · Zbl 0136.29402 [4] KOMINEK,Z.: On the sum and difference of two sets i topological vector spaces. Fund.Math.71. 165-169 (1971). · Zbl 0214.37403 [5] KOMINEK,Z.: Some generalization of the theorem of S. Piccard. Prace Mat.4. 31-33 (1973). · Zbl 0268.26003 [6] KUCZMA,M.E., KUCZMA,M.: An elementary proof and an extension of a theorem of Steinhaus. Glasnik Mat.6(26). 11-18 (1971). · Zbl 0218.28001 [7] KURATOWSKI,K.: Topology. Vol.1. New York-London-Warszawa: Academic Press and PWN 1966. · Zbl 0158.40901 [8] McSHANE,E.J.: Images of sets satisfying the condition of Baire. Ann. of Math.51. 380-386 (1950). · Zbl 0036.16701 · doi:10.2307/1969330 [9] MEHDI,M.R.: On convex functions. J. London Math. Soc.39. 321-326 (1964). · Zbl 0125.06304 · doi:10.1112/jlms/s1-39.1.321 [10] PAGANONI,L.: Una estensione di un theorema di Steinhaus. Ist. Lombardo Accad.Sci.Lett.Rend.A.108. 262-273 (1974). · Zbl 0314.28002 [11] PETTIS,B.J.: Remarks on a theorem of E.J.McShane. Proc. Amer. Math. Soc.2. 166-171 (1951). · Zbl 0043.05502 · doi:10.1090/S0002-9939-1951-0048012-3 [12] PICCARD,S.: Sur les ensembles de distances des ensembles de points d’un espace euclidien. Mém. Univ. Neuchâtel. Vol.13. Secrétariat de l’université Neuchâtel 1939. · JFM 65.1170.03 [13] SANDER,W.: Über den Kern des Produkts zweier Teilmengen einer topologischen Gruppe. Dissertation. Braunschweig 1974. [14] STEINHAUS,H.: Sur les distances des points des ensembles de mesure positive. Fund. Math.1. 93-104 (1920). · JFM 47.0179.02 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.