@article{Mrs.M. DURGADEVI, Ms. N. MEGHANA SANDHYA_2022, title={Lucid Dream Mathematics: Topology}, url={http://www.thedesignengineering.com/index.php/DE/article/view/9322}, abstractNote={<p>In dreams we usually interact with other dream characters that seem to talk and behave logically. Lucid dreamers, who are aware that they are dreaming during the dream, can have deliberate conversations with their dream characters and ask them to accomplish specific tasks. According to Barry Mazur Mathematicians are drive into the whirlwind of interpretations, intentions, aims, expectations, desires and shades of significance that in effect, depend largely upon the story we have woven around the concept. In lucid dreams the dreamer is aware that he or she is dreaming. Although such dreams are not that uncommon, many aspects of lucid dream phenomenology are still unclear. An online survey was conducted to gather data about lucid dream origination, duration, active or passive participation in the dream, planned actions for lucid dreams, and other phenomenological aspects. Among the 684 respondents who filled out the questionnaire, there were 571 lucid dreamers (83.5%). According to their reports, lucid dreams most often originate spontaneously in adolescence. The average lucid dream duration is about 14 minutes. Likely as this by our interpretations, aims and desires that in effect around the concept we consider the topological concepts such as Hausdorff maximal principle to state the interconnection between Emotions and Dreams, Axioms of choice and infinite to justify the No-Dreaming stage of sleep, Tietze Extension Theorem for the continuous Extension of dream and some following Theorems</p&gt;}, number={1}, journal={Design Engineering}, author={Mrs.M. DURGADEVI, Ms. N. MEGHANA SANDHYA}, year={2022}, month={Apr.}, pages={2803-2809} }