Abstract:

The definitions of quasi-elastic spaces and unitary point extendable quasi pair-base are given. We prove that quasi-elastic spaces are elastic spaces, and spaces with unitary point extendable quasi pair-base are equivalent to proto-metrizable spaces.

Key words: elastic spaces; quasi-elastic spaces; elastic pair-base; elastic quasi pairbase; unitary point extendable pair-base; unitary point extendable quasi pair-base