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Quasi Locally Connected Spaces and Pseudo Locally Connected Spaces

J.K. KohliD. SinghB. K. Tyagi — 2010

Commentationes Mathematicae

Two new generalizations of locally connected spaces called ‘quasi locally connected spaces’ and ‘pseudo locally connected spaces’ are introduced and their basic properties are studied. The class of quasi locally connected spaces properly contains the class of almost locally connected spaces (J. Austral. Math. Soc. 31(1981), 421–428) and is strictly contained in the class of pseudo locally connected spaces which in its turn is properly contained in the class of sum connected spaces (Math. Nachrichten...

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